153457920000 has 1440 divisors, whose sum is σ = 694494440640. Its totient is φ = 31703040000.

The previous prime is 153457919999. The next prime is 153457920019. The reversal of 153457920000 is 29754351.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 887039914 + ... + 887040086.

It is an arithmetic number, because the mean of its divisors is an integer number (482287806).

Almost surely, 2^153457920000 is an apocalyptic number.

153457920000 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 153457920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347247220320).

153457920000 is an abundant number, since it is smaller than the sum of its proper divisors (541036520640).

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

153457920000 is a wasteful number, since it uses less digits than its factorization.

153457920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 153457920000 in words is "one hundred fifty-three billion, four hundred fifty-seven million, nine hundred twenty thousand".