153506413200 has 240 divisors, whose sum is σ = 562984859520. Its totient is φ = 35024424960.

The previous prime is 153506413163. The next prime is 153506413201. The reversal of 153506413200 is 2314605351.

It is a tau number, because it is divible by the number of its divisors (240).

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 (153506413201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4763542 + ... + 4795658.

It is an arithmetic number, because the mean of its divisors is an integer number (2345770248).

Almost surely, 2^153506413200 is an apocalyptic number.

153506413200 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 153506413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281492429760).

153506413200 is an abundant number, since it is smaller than the sum of its proper divisors (409478446320).

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

153506413200 is a wasteful number, since it uses less digits than its factorization.

153506413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32714 (or 32703 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 153506413200 in words is "one hundred fifty-three billion, five hundred six million, four hundred thirteen thousand, two hundred".