152521920 has 224 divisors, whose sum is σ = 546201600. Its totient is φ = 40061952.

The previous prime is 152521883. The next prime is 152521921. The reversal of 152521920 is 29125251.

152521920 is a `hidden beast` number, since 1 + 52 + 521 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152521921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097211 + ... + 1097349.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^152521920 is an apocalyptic number.

152521920 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 152521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

152521920 is an abundant number, since it is smaller than the sum of its proper divisors (393679680).

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

152521920 is a wasteful number, since it uses less digits than its factorization.

152521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152521920 is about 12349.9765181963. The cubic root of 152521920 is about 534.2904618499.

The spelling of 152521920 in words is "one hundred fifty-two million, five hundred twenty-one thousand, nine hundred twenty".