150297638400 has 1920 divisors, whose sum is σ = 699005260800. Its totient is φ = 31173672960.

The previous prime is 150297638389. The next prime is 150297638411. The reversal of 150297638400 is 4836792051.

150297638400 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 9 + 7 + 638 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (150297638389) and next prime (150297638411).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2547417571 + ... + 2547417629.

It is an arithmetic number, because the mean of its divisors is an integer number (364065240).

It is a 1-persistent number, because it is pandigital, but 2⋅150297638400 = 300595276800 is not.

Almost surely, 2^150297638400 is an apocalyptic number.

150297638400 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 150297638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349502630400).

150297638400 is an abundant number, since it is smaller than the sum of its proper divisors (548707622400).

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

150297638400 is an frugal number, since it uses more digits than its factorization.

150297638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 150297638400 in words is "one hundred fifty billion, two hundred ninety-seven million, six hundred thirty-eight thousand, four hundred".