153661400 has 48 divisors (see below), whose sum is σ = 360847440. Its totient is φ = 60848000.

The previous prime is 153661397. The next prime is 153661411. The reversal of 153661400 is 4166351.

153661400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153661400² = 47223651699920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153661400.

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, 16397 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (7517655).

Almost surely, 2^153661400 is an apocalyptic number.

153661400 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 153661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180423720).

153661400 is an abundant number, since it is smaller than the sum of its proper divisors (207186040).

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

153661400 is a wasteful number, since it uses less digits than its factorization.

153661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 153661400 is about 12396.0235559634. The cubic root of 153661400 is about 535.6177102524.

The spelling of 153661400 in words is "one hundred fifty-three million, six hundred sixty-one thousand, four hundred".