153425664 has 270 divisors, whose sum is σ = 535703784. Its totient is φ = 43545600.

The previous prime is 153425651. The next prime is 153425683. The reversal of 153425664 is 466524351.

153425664 is a `hidden beast` number, since 1 + 53 + 42 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015989 + ... + 1016139.

Almost surely, 2^153425664 is an apocalyptic number.

153425664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267851892).

153425664 is an abundant number, since it is smaller than the sum of its proper divisors (382278120).

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

153425664 is an equidigital number, since it uses as much as digits as its factorization.

153425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 153425664 is about 12386.5113732641. The cubic root of 153425664 is about 535.3436683218.

The spelling of 153425664 in words is "one hundred fifty-three million, four hundred twenty-five thousand, six hundred sixty-four".