150313153310400 has 168 divisors, whose sum is σ = 493495131432960. Its totient is φ = 40055650595840.

The previous prime is 150313153310311. The next prime is 150313153310401. The reversal of 150313153310400 is 4013351313051.

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 (150313153310401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3973704 + ... + 17788103.

Almost surely, 2^{150313153310400} is an apocalyptic number.

150313153310400 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 150313153310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246747565716480).

150313153310400 is an abundant number, since it is smaller than the sum of its proper divisors (343181978122560).

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

150313153310400 is a wasteful number, since it uses less digits than its factorization.

150313153310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21763271 (or 21763256 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 150313153310400 in words is "one hundred fifty trillion, three hundred thirteen billion, one hundred fifty-three million, three hundred ten thousand, four hundred".