154125972 has 324 divisors, whose sum is σ = 546751296. Its totient is φ = 36167040.

The previous prime is 154125953. The next prime is 154125991. The reversal of 154125972 is 279521451.

154125972 is a `hidden beast` number, since 1 + 54 + 12 + 597 + 2 = 666.

154125972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154125953) and next prime (154125991).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3279253 + ... + 3279299.

It is an arithmetic number, because the mean of its divisors is an integer number (1687504).

Almost surely, 2^154125972 is an apocalyptic number.

154125972 is a gapful number since it is divisible by the number (12) 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 154125972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273375648).

154125972 is an abundant number, since it is smaller than the sum of its proper divisors (392625324).

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

154125972 is a wasteful number, since it uses less digits than its factorization.

154125972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 154125972 is about 12414.7481649851. The cubic root of 154125972 is about 536.1569535531.

The spelling of 154125972 in words is "one hundred fifty-four million, one hundred twenty-five thousand, nine hundred seventy-two".