152025812640 has 288 divisors, whose sum is σ = 588101230080. Its totient is φ = 35452090368.

The previous prime is 152025812599. The next prime is 152025812669. The reversal of 152025812640 is 46218520251.

152025812640 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 2 + 5 + 8 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×152025812640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152025812595 and 152025812604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141969 + ... + 569391.

It is an arithmetic number, because the mean of its divisors is an integer number (2042018160).

Almost surely, 2^152025812640 is an apocalyptic number.

152025812640 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 152025812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294050615040).

152025812640 is an abundant number, since it is smaller than the sum of its proper divisors (436075417440).

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

152025812640 is a wasteful number, since it uses less digits than its factorization.

152025812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427476 (or 427465 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 152025812640 in words is "one hundred fifty-two billion, twenty-five million, eight hundred twelve thousand, six hundred forty".