153190656 has 144 divisors (see below), whose sum is σ = 466032000. Its totient is φ = 49600512.

The previous prime is 153190643. The next prime is 153190657. The reversal of 153190656 is 656091351.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 153190656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153190657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255445 + ... + 256043.

Almost surely, 2^153190656 is an apocalyptic number.

153190656 is a gapful number since it is divisible by the number (16) 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 153190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233016000).

153190656 is an abundant number, since it is smaller than the sum of its proper divisors (312841344).

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

153190656 is an equidigital number, since it uses as much as digits as its factorization.

153190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 153190656 is about 12377.0212894703. The cubic root of 153190656 is about 535.0701931367.

The spelling of 153190656 in words is "one hundred fifty-three million, one hundred ninety thousand, six hundred fifty-six".