152957344680 has 320 divisors, whose sum is σ = 594994752000. Its totient is φ = 34518721536.

The previous prime is 152957344679. The next prime is 152957344691. The reversal of 152957344680 is 86443759251.

It is a happy number.

152957344680 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 573 + 4 + 4 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1749036 + ... + 1834404.

It is an arithmetic number, because the mean of its divisors is an integer number (1859358600).

It is a 1-persistent number, because it is pandigital, but 2⋅152957344680 = 305914689360 is not.

Almost surely, 2^152957344680 is an apocalyptic number.

152957344680 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 152957344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297497376000).

152957344680 is an abundant number, since it is smaller than the sum of its proper divisors (442037407320).

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

152957344680 is a wasteful number, since it uses less digits than its factorization.

152957344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85478 (or 85465 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 152957344680 in words is "one hundred fifty-two billion, nine hundred fifty-seven million, three hundred forty-four thousand, six hundred eighty".