152534161920 has 960 divisors, whose sum is σ = 608800427136. Its totient is φ = 32369541120.

The previous prime is 152534161907. The next prime is 152534161931. The reversal of 152534161920 is 29161435251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722910615 + ... + 722910825.

Almost surely, 2^152534161920 is an apocalyptic number.

152534161920 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 152534161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304400213568).

152534161920 is an abundant number, since it is smaller than the sum of its proper divisors (456266265216).

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

152534161920 is a wasteful number, since it uses less digits than its factorization.

152534161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 152534161920 in words is "one hundred fifty-two billion, five hundred thirty-four million, one hundred sixty-one thousand, nine hundred twenty".