153760000 has 135 divisors (see below), whose sum is σ = 396297363. Its totient is φ = 59520000.

The previous prime is 153759979. The next prime is 153760003. The reversal of 153760000 is 67351.

The square root of 153760000 is 12400.

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

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 141705216 = 3472^2 + 11904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153760003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4959985 + ... + 4960015.

Almost surely, 2^153760000 is an apocalyptic number.

153760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153760000 is the 12400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153760000

153760000 is an abundant number, since it is smaller than the sum of its proper divisors (242537363).

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

153760000 is an frugal number, since it uses more digits than its factorization.

153760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The cubic root of 153760000 is about 535.7322491331.

The spelling of 153760000 in words is "one hundred fifty-three million, seven hundred sixty thousand".