152925480 has 192 divisors, whose sum is σ = 522961920. Its totient is φ = 38707200.

The previous prime is 152925473. The next prime is 152925491. The reversal of 152925480 is 84529251.

152925480 is a `hidden beast` number, since 1 + 529 + 2 + 54 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792264 + ... + 792456.

It is an arithmetic number, because the mean of its divisors is an integer number (2723760).

Almost surely, 2^152925480 is an apocalyptic number.

152925480 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 152925480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261480960).

152925480 is an abundant number, since it is smaller than the sum of its proper divisors (370036440).

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

152925480 is a wasteful number, since it uses less digits than its factorization.

152925480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 152925480 is about 12366.3042175098. The cubic root of 152925480 is about 534.7612758563.

The spelling of 152925480 in words is "one hundred fifty-two million, nine hundred twenty-five thousand, four hundred eighty".