153125120000 has 480 divisors, whose sum is σ = 420012552960. Its totient is φ = 55541760000.

The previous prime is 153125119967. The next prime is 153125120011. The reversal of 153125120000 is 21521351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 674559887 + ... + 674560113.

It is an arithmetic number, because the mean of its divisors is an integer number (875026152).

Almost surely, 2^153125120000 is an apocalyptic number.

153125120000 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 153125120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210006276480).

153125120000 is an abundant number, since it is smaller than the sum of its proper divisors (266887432960).

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

153125120000 is an equidigital number, since it uses as much as digits as its factorization.

153125120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 153125120000 its reverse (21521351), we get a palindrome (153146641351).

The spelling of 153125120000 in words is "one hundred fifty-three billion, one hundred twenty-five million, one hundred twenty thousand".