153977120 has 96 divisors (see below), whose sum is σ = 401708160. Its totient is φ = 55306240.

The previous prime is 153977119. The next prime is 153977141. The reversal of 153977120 is 21779351.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156149 + ... + 157131.

It is an arithmetic number, because the mean of its divisors is an integer number (4184460).

Almost surely, 2^153977120 is an apocalyptic number.

153977120 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 153977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200854080).

153977120 is an abundant number, since it is smaller than the sum of its proper divisors (247731040).

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

153977120 is a wasteful number, since it uses less digits than its factorization.

153977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 153977120 is about 12408.7517502769. The cubic root of 153977120 is about 535.9842944830.

The spelling of 153977120 in words is "one hundred fifty-three million, nine hundred seventy-seven thousand, one hundred twenty".