152308464 has 240 divisors, whose sum is σ = 518419200. Its totient is φ = 38196480.

The previous prime is 152308421. The next prime is 152308477. The reversal of 152308464 is 464803251.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5252002 + ... + 5252030.

It is an arithmetic number, because the mean of its divisors is an integer number (2160080).

Almost surely, 2^152308464 is an apocalyptic number.

152308464 is a gapful number since it is divisible by the number (14) 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 152308464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259209600).

152308464 is an abundant number, since it is smaller than the sum of its proper divisors (366110736).

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

152308464 is a wasteful number, since it uses less digits than its factorization.

152308464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 152308464 is about 12341.3315326994. The cubic root of 152308464 is about 534.0410971470.

The spelling of 152308464 in words is "one hundred fifty-two million, three hundred eight thousand, four hundred sixty-four".