152653800 has 96 divisors (see below), whose sum is σ = 509654880. Its totient is φ = 37574400.

The previous prime is 152653799. The next prime is 152653807. The reversal of 152653800 is 8356251.

152653800 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 (30).

It is not an unprimeable number, because it can be changed into a prime (152653807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (5308905).

Almost surely, 2^152653800 is an apocalyptic number.

152653800 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 152653800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254827440).

152653800 is an abundant number, since it is smaller than the sum of its proper divisors (357001080).

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

152653800 is a wasteful number, since it uses less digits than its factorization.

152653800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19603 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152653800 is about 12355.3146459327. The cubic root of 152653800 is about 534.4444111471. Note that the first 4 decimals are identical.

The spelling of 152653800 in words is "one hundred fifty-two million, six hundred fifty-three thousand, eight hundred".