151253120 has 32 divisors (see below), whose sum is σ = 361591020. Its totient is φ = 60500992.

The previous prime is 151253119. The next prime is 151253143. The reversal of 151253120 is 21352151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 151191616 + 61504 = 12296^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 151253092 and 151253101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117527 + ... + 118806.

Almost surely, 2^151253120 is an apocalyptic number.

151253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151253120 is an abundant number, since it is smaller than the sum of its proper divisors (210337900).

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

151253120 is an equidigital number, since it uses as much as digits as its factorization.

151253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236352 (or 236340 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 151253120 is about 12298.5007216327. The cubic root of 151253120 is about 532.8047819162.

The spelling of 151253120 in words is "one hundred fifty-one million, two hundred fifty-three thousand, one hundred twenty".