153140625 has 105 divisors (see below), whose sum is σ = 314312383. Its totient is φ = 74250000.

The previous prime is 153140623. The next prime is 153140657. The reversal of 153140625 is 526041351.

The square root of 153140625 is 12375.

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

153140625 is a `hidden beast` number, since 1 + 5 + 31 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 134165889 + 18974736 = 11583^2 + 4356^2 .

It is not a de Polignac number, because 153140625 - 2¹ = 153140623 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (153140623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 13921870 + ... + 13921880.

Almost surely, 2^153140625 is an apocalyptic number.

153140625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153140625 is the 12375-th square number.

153140625 is the 6188-th centered octagonal number.

It is an amenable number.

153140625 is an abundant number, since it is smaller than the sum of its proper divisors (161171758).

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

153140625 is an frugal number, since it uses more digits than its factorization.

153140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 19 counting only the distinct ones).

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

The cubic root of 153140625 is about 535.0119367296.

Multiplying 153140625 by its product of nonzero digits (3600), we get a square (551306250000 = 742500²).

Adding to 153140625 its reverse (526041351), we get a palindrome (679181976).

The spelling of 153140625 in words is "one hundred fifty-three million, one hundred forty thousand, six hundred twenty-five".