151275120 has 80 divisors (see below), whose sum is σ = 476686752. Its totient is φ = 39674880.

The previous prime is 151275119. The next prime is 151275121. The reversal of 151275120 is 21572151.

It is an interprime number because it is at equal distance from previous prime (151275119) and next prime (151275121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151275121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474 + ... + 19806.

Almost surely, 2^151275120 is an apocalyptic number.

151275120 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 151275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238343376).

151275120 is an abundant number, since it is smaller than the sum of its proper divisors (325411632).

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

151275120 is a wasteful number, since it uses less digits than its factorization.

151275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 151275120 is about 12299.3951070774. The cubic root of 151275120 is about 532.8306130901.

The spelling of 151275120 in words is "one hundred fifty-one million, two hundred seventy-five thousand, one hundred twenty".