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136839456 = 25341331131
BaseRepresentation
bin10000010100000…
…00000100100000
3100112111011110000
420022000010200
5240012330311
621324540000
73251054565
oct1012000440
9315434400
10136839456
1170273566
12399b1600
13224718c0
141426086c
15c030056
hex8280120

136839456 has 240 divisors, whose sum is σ = 450793728. Its totient is φ = 40435200.

The previous prime is 136839433. The next prime is 136839503. The reversal of 136839456 is 654938631.

Its product of digits (466560) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044511 + ... + 1044641.

Almost surely, 2136839456 is an apocalyptic number.

136839456 is a gapful number since it is divisible by the number (16) 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 136839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225396864).

136839456 is an abundant number, since it is smaller than the sum of its proper divisors (313954272).

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

136839456 is a wasteful number, since it uses less digits than its factorization.

136839456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 136839456 is about 11697.8398005786. The cubic root of 136839456 is about 515.3122259154.

The spelling of 136839456 in words is "one hundred thirty-six million, eight hundred thirty-nine thousand, four hundred fifty-six".