153161600 has 96 divisors (see below), whose sum is σ = 394997040. Its totient is φ = 58572800.

The previous prime is 153161597. The next prime is 153161639. The reversal of 153161600 is 6161351.

It is a happy number.

153161600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72560 + ... + 74640.

Almost surely, 2^153161600 is an apocalyptic number.

153161600 is a gapful number since it is divisible by the number (10) 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 153161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197498520).

153161600 is an abundant number, since it is smaller than the sum of its proper divisors (241835440).

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

153161600 is a wasteful number, since it uses less digits than its factorization.

153161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 153161600 is about 12375.8474457307. The cubic root of 153161600 is about 535.0363616943.

The spelling of 153161600 in words is "one hundred fifty-three million, one hundred sixty-one thousand, six hundred".