150126350400 has 504 divisors, whose sum is σ = 592630625760. Its totient is φ = 36952381440.

The previous prime is 150126350389. The next prime is 150126350411. The reversal of 150126350400 is 4053621051.

150126350400 is a `hidden beast` number, since 15 + 0 + 12 + 635 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (150126350389) and next prime (150126350411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7290519 + ... + 7311081.

Almost surely, 2^150126350400 is an apocalyptic number.

150126350400 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 150126350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296315312880).

150126350400 is an abundant number, since it is smaller than the sum of its proper divisors (442504275360).

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

150126350400 is a wasteful number, since it uses less digits than its factorization.

150126350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 20586 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 150126350400 its reverse (4053621051), we get a palindrome (154179971451).

The spelling of 150126350400 in words is "one hundred fifty billion, one hundred twenty-six million, three hundred fifty thousand, four hundred".