152090120 has 192 divisors, whose sum is σ = 441262080. Its totient is φ = 46738944.

The previous prime is 152090119. The next prime is 152090131. The reversal of 152090120 is 21090251.

It is a super-2 number, since 2×152090120² = 46262809203228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152090092 and 152090101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197497 + ... + 1197623.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^152090120 is an apocalyptic number.

152090120 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 152090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

152090120 is an abundant number, since it is smaller than the sum of its proper divisors (289171960).

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

152090120 is a wasteful number, since it uses less digits than its factorization.

152090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 152090120 is about 12332.4823129814. The cubic root of 152090120 is about 533.7857809929.

The spelling of 152090120 in words is "one hundred fifty-two million, ninety thousand, one hundred twenty".