120153400 has 48 divisors (see below), whose sum is σ = 280216440. Its totient is φ = 47913600.

The previous prime is 120153379. The next prime is 120153431. The reversal of 120153400 is 4351021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83487 + ... + 84913.

Almost surely, 2^120153400 is an apocalyptic number.

120153400 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 120153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140108220).

120153400 is an abundant number, since it is smaller than the sum of its proper divisors (160063040).

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

120153400 is a wasteful number, since it uses less digits than its factorization.

120153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 120153400 is about 10961.4506339262. The cubic root of 120153400 is about 493.4525014447.

The spelling of 120153400 in words is "one hundred twenty million, one hundred fifty-three thousand, four hundred".