152685941760 has 1408 divisors, whose sum is σ = 633869107200. Its totient is φ = 34504704000.

The previous prime is 152685941671. The next prime is 152685941767. The reversal of 152685941760 is 67149586251.

It is a happy number.

152685941760 is a `hidden beast` number, since 1 + 526 + 8 + 5 + 9 + 41 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×152685941760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152685941697 and 152685941706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152685941767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1932733401 + ... + 1932733479.

Almost surely, 2^152685941760 is an apocalyptic number.

152685941760 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 152685941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316934553600).

152685941760 is an abundant number, since it is smaller than the sum of its proper divisors (481183165440).

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

152685941760 is a wasteful number, since it uses less digits than its factorization.

152685941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 152685941760 in words is "one hundred fifty-two billion, six hundred eighty-five million, nine hundred forty-one thousand, seven hundred sixty".