150172682400 has 1152 divisors, whose sum is σ = 626337411840. Its totient is φ = 34398535680.

The previous prime is 150172682381. The next prime is 150172682423. The reversal of 150172682400 is 4286271051.

150172682400 is a `hidden beast` number, since 1 + 5 + 0 + 172 + 6 + 82 + 400 = 666.

150172682400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150172682400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 778096704 + ... + 778096896.

It is an arithmetic number, because the mean of its divisors is an integer number (543695670).

Almost surely, 2^150172682400 is an apocalyptic number.

150172682400 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 150172682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313168705920).

150172682400 is an abundant number, since it is smaller than the sum of its proper divisors (476164729440).

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

150172682400 is a wasteful number, since it uses less digits than its factorization.

150172682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 150172682400 in words is "one hundred fifty billion, one hundred seventy-two million, six hundred eighty-two thousand, four hundred".