153714180096 has 135 divisors (see below), whose sum is σ = 444484977573. Its totient is φ = 51187875840.

The previous prime is 153714180077. The next prime is 153714180239. The reversal of 153714180096 is 690081417351.

The square root of 153714180096 is 392064.

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

153714180096 is a `hidden beast` number, since 1 + 537 + 14 + 18 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89482346496 + 64231833600 = 299136^2 + 253440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150552066 + ... + 150553086.

Almost surely, 2^153714180096 is an apocalyptic number.

153714180096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153714180096 is the 392064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153714180096

153714180096 is an abundant number, since it is smaller than the sum of its proper divisors (290770797477).

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

153714180096 is an frugal number, since it uses more digits than its factorization.

153714180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 153714180096 in words is "one hundred fifty-three billion, seven hundred fourteen million, one hundred eighty thousand, ninety-six".