153155781542400 has 960 divisors, whose sum is σ = 631991001320448. Its totient is φ = 31831836917760.

The previous prime is 153155781542399. The next prime is 153155781542447. The reversal of 153155781542400 is 4245187551351.

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, 233797719 + ... + 234451881.

Almost surely, 2^{153155781542400} is an apocalyptic number.

153155781542400 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 153155781542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315995500660224).

153155781542400 is an abundant number, since it is smaller than the sum of its proper divisors (478835219778048).

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

153155781542400 is a wasteful number, since it uses less digits than its factorization.

153155781542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654281 (or 654260 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 51.

The spelling of 153155781542400 in words is "one hundred fifty-three trillion, one hundred fifty-five billion, seven hundred eighty-one million, five hundred forty-two thousand, four hundred".