152467920 has 480 divisors, whose sum is σ = 623960064. Its totient is φ = 34214400.

The previous prime is 152467919. The next prime is 152467921. The reversal of 152467920 is 29764251.

It is an interprime number because it is at equal distance from previous prime (152467919) and next prime (152467921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152467921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4918305 + ... + 4918335.

Almost surely, 2^152467920 is an apocalyptic number.

152467920 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 152467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032).

152467920 is an abundant number, since it is smaller than the sum of its proper divisors (471492144).

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

152467920 is a wasteful number, since it uses less digits than its factorization.

152467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152467920 is about 12347.7900856793. The cubic root of 152467920 is about 534.2273996781.

The spelling of 152467920 in words is "one hundred fifty-two million, four hundred sixty-seven thousand, nine hundred twenty".