152830139402880 has 2560 divisors, whose sum is σ = 601193590905600. Its totient is φ = 36867586129920.

The previous prime is 152830139402867. The next prime is 152830139402881. The reversal of 152830139402880 is 88204931038251.

152830139402880 is a `hidden beast` number, since 1 + 5 + 28 + 3 + 0 + 139 + 402 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152830139402881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 488275205604 + ... + 488275205916.

Almost surely, 2^{152830139402880} is an apocalyptic number.

152830139402880 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 152830139402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300596795452800).

152830139402880 is an abundant number, since it is smaller than the sum of its proper divisors (448363451502720).

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

152830139402880 is a wasteful number, since it uses less digits than its factorization.

152830139402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 152830139402880 in words is "one hundred fifty-two trillion, eight hundred thirty billion, one hundred thirty-nine million, four hundred two thousand, eight hundred eighty".