153448475625 has 75 divisors (see below), whose sum is σ = 286604806323. Its totient is φ = 81792180000.

The previous prime is 153448475591. The next prime is 153448475629. The reversal of 153448475625 is 526574844351.

The square root of 153448475625 is 391725.

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

153448475625 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 4 + 8 + 4 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 144063516249 + 9384959376 = 379557^2 + 96876^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 153448475625 - 2¹⁵ = 153448442857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153448475629) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 88137255 + ... + 88138995.

Almost surely, 2^153448475625 is an apocalyptic number.

153448475625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153448475625 is the 391725-th square number.

153448475625 is the 195863-rd centered octagonal number.

It is an amenable number.

153448475625 is a deficient number, since it is larger than the sum of its proper divisors (133156330698).

153448475625 is an frugal number, since it uses more digits than its factorization.

153448475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 1749 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 153448475625 in words is "one hundred fifty-three billion, four hundred forty-eight million, four hundred seventy-five thousand, six hundred twenty-five".