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132745860 = 2232513174771
BaseRepresentation
bin1111110100110…
…00101010000100
3100020210012002100
413322120222010
5232440331420
621101112100
73201215112
oct772305204
9306705070
10132745860
1168a27a25
1238558630
132166a560
14138b6ab2
15b9c2190
hex7e98a84

132745860 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 29675520.

The previous prime is 132745853. The next prime is 132745871. The reversal of 132745860 is 68547231.

132745860 is a `hidden beast` number, since 1 + 3 + 2 + 74 + 586 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1869625 + ... + 1869695.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2132745860 is an apocalyptic number.

132745860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132745860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

132745860 is an abundant number, since it is smaller than the sum of its proper divisors (342772092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132745860 is a wasteful number, since it uses less digits than its factorization.

132745860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132745860 is about 11521.5389597050. The cubic root of 132745860 is about 510.1215396607.

The spelling of 132745860 in words is "one hundred thirty-two million, seven hundred forty-five thousand, eight hundred sixty".