153638640 has 80 divisors (see below), whose sum is σ = 529207200. Its totient is φ = 40969728.

The previous prime is 153638633. The next prime is 153638651. The reversal of 153638640 is 46836351.

153638640 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 153638595 and 153638604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33405 + ... + 37724.

It is an arithmetic number, because the mean of its divisors is an integer number (6615090).

Almost surely, 2^153638640 is an apocalyptic number.

153638640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153638640 is an abundant number, since it is smaller than the sum of its proper divisors (375568560).

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

153638640 is a wasteful number, since it uses less digits than its factorization.

153638640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71151 (or 71139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 153638640 is about 12395.1054856342. The cubic root of 153638640 is about 535.5912640943.

The spelling of 153638640 in words is "one hundred fifty-three million, six hundred thirty-eight thousand, six hundred forty".