152815920544 has 144 divisors (see below), whose sum is σ = 362221009920. Its totient is φ = 63212244480.

The previous prime is 152815920533. The next prime is 152815920581. The reversal of 152815920544 is 445029518251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152815920494 and 152815920503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19293417 + ... + 19301335.

It is an arithmetic number, because the mean of its divisors is an integer number (2515423680).

Almost surely, 2^152815920544 is an apocalyptic number.

152815920544 is a gapful number since it is divisible by the number (14) 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 152815920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181110504960).

152815920544 is an abundant number, since it is smaller than the sum of its proper divisors (209405089376).

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

152815920544 is a wasteful number, since it uses less digits than its factorization.

152815920544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 152815920544 in words is "one hundred fifty-two billion, eight hundred fifteen million, nine hundred twenty thousand, five hundred forty-four".