151458120 has 384 divisors, whose sum is σ = 593712000. Its totient is φ = 34214400.

The previous prime is 151458119. The next prime is 151458149. The reversal of 151458120 is 21854151.

It is a super-2 number, since 2×151458120² = 45879124227868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482890 + ... + 2482950.

It is an arithmetic number, because the mean of its divisors is an integer number (1546125).

Almost surely, 2^151458120 is an apocalyptic number.

151458120 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 151458120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856000).

151458120 is an abundant number, since it is smaller than the sum of its proper divisors (442253880).

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

151458120 is a wasteful number, since it uses less digits than its factorization.

151458120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151458120 is about 12306.8322487958. The cubic root of 151458120 is about 533.0453844938.

The spelling of 151458120 in words is "one hundred fifty-one million, four hundred fifty-eight thousand, one hundred twenty".