153056400420 has 96 divisors (see below), whose sum is σ = 534305995776. Its totient is φ = 31803926400.

The previous prime is 153056400403. The next prime is 153056400421. The reversal of 153056400420 is 24004650351.

153056400420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153056400421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16559926 + ... + 16569165.

It is an arithmetic number, because the mean of its divisors is an integer number (5565687456).

Almost surely, 2^153056400420 is an apocalyptic number.

153056400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153056400420 is an abundant number, since it is smaller than the sum of its proper divisors (381249595356).

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

153056400420 is a wasteful number, since it uses less digits than its factorization.

153056400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33129121 (or 33129119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 153056400420 in words is "one hundred fifty-three billion, fifty-six million, four hundred thousand, four hundred twenty".