152209120 has 96 divisors (see below), whose sum is σ = 422186688. Its totient is φ = 50761728.

The previous prime is 152209103. The next prime is 152209151. The reversal of 152209120 is 21902251.

It is a super-2 number, since 2×152209120² = 46335232422348800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152209091 and 152209100.

It is a congruent 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, 39604 + ... + 43276.

It is an arithmetic number, because the mean of its divisors is an integer number (4397778).

Almost surely, 2^152209120 is an apocalyptic number.

152209120 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 152209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211093344).

152209120 is an abundant number, since it is smaller than the sum of its proper divisors (269977568).

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

152209120 is a wasteful number, since it uses less digits than its factorization.

152209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 152209120 is about 12337.3060268439. The cubic root of 152209120 is about 533.9249615180.

The spelling of 152209120 in words is "one hundred fifty-two million, two hundred nine thousand, one hundred twenty".