152739961920 has 504 divisors, whose sum is σ = 658153490904. Its totient is φ = 32226066432.

The previous prime is 152739961919. The next prime is 152739961937. The reversal of 152739961920 is 29169937251.

152739961920 is a `hidden beast` number, since 1 + 527 + 3 + 9 + 96 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17127480384 + 135612481536 = 130872^2 + 368256^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1792932 + ... + 1876188.

It is an arithmetic number, because the mean of its divisors is an integer number (1305860101).

Almost surely, 2^152739961920 is an apocalyptic number.

152739961920 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 152739961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329076745452).

152739961920 is an abundant number, since it is smaller than the sum of its proper divisors (505413528984).

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

152739961920 is a wasteful number, since it uses less digits than its factorization.

152739961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83307 (or 83287 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 152739961920 in words is "one hundred fifty-two billion, seven hundred thirty-nine million, nine hundred sixty-one thousand, nine hundred twenty".