150147527040900 has 243 divisors, whose sum is σ = 472927399901229. Its totient is φ = 39844755440640.

The previous prime is 150147527040883. The next prime is 150147527040989. The reversal of 150147527040900 is 9040725741051.

The square root of 150147527040900 is 12253470.

It is a perfect power (a square), and thus also a powerful number.

150147527040900 is a `hidden beast` number, since 1 + 50 + 1 + 475 + 2 + 7 + 0 + 40 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 137810741875524 + 12336785165376 = 11739282^2 + 3512376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85651754424 + ... + 85651756176.

Almost surely, 2^{150147527040900} is an apocalyptic number.

150147527040900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150147527040900 is the 12253470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150147527040900

150147527040900 is an abundant number, since it is smaller than the sum of its proper divisors (322779872860329).

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

150147527040900 is an equidigital number, since it uses as much as digits as its factorization.

150147527040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 150147527040900 in words is "one hundred fifty trillion, one hundred forty-seven billion, five hundred twenty-seven million, forty thousand, nine hundred".