151212099600 has 135 divisors (see below), whose sum is σ = 524828968599. Its totient is φ = 40317004800.

The previous prime is 151212099589. The next prime is 151212099653. The reversal of 151212099600 is 6990212151.

The square root of 151212099600 is 388860.

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

151212099600 is a `hidden beast` number, since 1 + 5 + 1 + 21 + 20 + 9 + 9 + 600 = 666.

151212099600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25079156496 + 126132943104 = 158364^2 + 355152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23328360 + ... + 23334840.

Almost surely, 2^151212099600 is an apocalyptic number.

151212099600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151212099600 is the 388860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151212099600

151212099600 is an abundant number, since it is smaller than the sum of its proper divisors (373616868999).

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

151212099600 is an frugal number, since it uses more digits than its factorization.

151212099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 151212099600 by its sum of digits (36), we get a square (5443635585600 = 2333160²).

151212099600 divided by its sum of digits (36) gives a square (4200336100 = 64810²).

The spelling of 151212099600 in words is "one hundred fifty-one billion, two hundred twelve million, ninety-nine thousand, six hundred".