152253365841920 has 208 divisors, whose sum is σ = 420360717700800. Its totient is φ = 51850803412992.

The previous prime is 152253365841919. The next prime is 152253365841961. The reversal of 152253365841920 is 29148563352251.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17796764 + ... + 24924516.

Almost surely, 2^{152253365841920} is an apocalyptic number.

152253365841920 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 152253365841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210180358850400).

152253365841920 is an abundant number, since it is smaller than the sum of its proper divisors (268107351858880).

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

152253365841920 is an equidigital number, since it uses as much as digits as its factorization.

152253365841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127938 (or 7127916 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 152253365841920 in words is "one hundred fifty-two trillion, two hundred fifty-three billion, three hundred sixty-five million, eight hundred forty-one thousand, nine hundred twenty".