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148121136 = 24381783
BaseRepresentation
bin10001101010000…
…10011000110000
3101022201100000000
420311002120300
5300404334021
622410430000
73446003022
oct1065023060
9338640000
10148121136
1176679669
1241732300
13248c1957
141595a012
15d00cb26
hex8d42630

148121136 has 180 divisors, whose sum is σ = 461267352. Its totient is φ = 45909504.

The previous prime is 148121117. The next prime is 148121137. The reversal of 148121136 is 631121841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148121137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784551 + ... + 1784633.

Almost surely, 2148121136 is an apocalyptic number.

148121136 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 148121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230633676).

148121136 is an abundant number, since it is smaller than the sum of its proper divisors (313146216).

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

148121136 is an frugal number, since it uses more digits than its factorization.

148121136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 148121136 is about 12170.5027012034. The cubic root of 148121136 is about 529.1015227004.

Adding to 148121136 its reverse (631121841), we get a palindrome (779242977).

The spelling of 148121136 in words is "one hundred forty-eight million, one hundred twenty-one thousand, one hundred thirty-six".