152830310105088 has 2400 divisors, whose sum is σ = 586454517841920. Its totient is φ = 39001250856960.

The previous prime is 152830310105069. The next prime is 152830310105089. The reversal of 152830310105088 is 880501013038251.

152830310105088 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 30 + 3 + 101 + 0 + 508 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (152830310105089) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1203388268481 + ... + 1203388268607.

Almost surely, 2^{152830310105088} is an apocalyptic number.

152830310105088 is a gapful number since it is divisible by the number (18) 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 152830310105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293227258920960).

152830310105088 is an abundant number, since it is smaller than the sum of its proper divisors (433624207736832).

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

152830310105088 is an equidigital number, since it uses as much as digits as its factorization.

152830310105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 152830310105088 in words is "one hundred fifty-two trillion, eight hundred thirty billion, three hundred ten million, one hundred five thousand, eighty-eight".