147936390625 has 63 divisors (see below), whose sum is σ = 197526788031. Its totient is φ = 110772000000.

The previous prime is 147936390617. The next prime is 147936390629. The reversal of 147936390625 is 526093639741.

The square root of 147936390625 is 384625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 93064609 + 147843326016 = 9647^2 + 384504^2 .

It is not a de Polignac number, because 147936390625 - 2³ = 147936390617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147936390629) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 817328035 + ... + 817328215.

Almost surely, 2^147936390625 is an apocalyptic number.

147936390625 is the 384625-th square number.

147936390625 is the 192313-rd centered octagonal number.

It is an amenable number.

147936390625 is a deficient number, since it is larger than the sum of its proper divisors (49590397406).

147936390625 is an frugal number, since it uses more digits than its factorization.

147936390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 147936390625 in words is "one hundred forty-seven billion, nine hundred thirty-six million, three hundred ninety thousand, six hundred twenty-five".