153820656 has 180 divisors, whose sum is σ = 497479320. Its totient is φ = 43994880.

The previous prime is 153820609. The next prime is 153820657. The reversal of 153820656 is 656028351.

153820656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 153820656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153820657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 571690 + ... + 571958.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^153820656 is an apocalyptic number.

153820656 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 153820656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248739660).

153820656 is an abundant number, since it is smaller than the sum of its proper divisors (343658664).

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

153820656 is a wasteful number, since it uses less digits than its factorization.

153820656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 153820656 is about 12402.4455652907. The cubic root of 153820656 is about 535.8026859681.

The spelling of 153820656 in words is "one hundred fifty-three million, eight hundred twenty thousand, six hundred fifty-six".