465153136 has 80 divisors (see below), whose sum is σ = 1089890560. Its totient is φ = 187868160.

The previous prime is 465153119. The next prime is 465153179. The reversal of 465153136 is 631351564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512395 + ... + 513301.

It is an arithmetic number, because the mean of its divisors is an integer number (13623632).

Almost surely, 2^465153136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465153136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544945280).

465153136 is an abundant number, since it is smaller than the sum of its proper divisors (624737424).

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

465153136 is a wasteful number, since it uses less digits than its factorization.

465153136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 465153136 is about 21567.4091165351. The cubic root of 465153136 is about 774.8161262013.

The spelling of 465153136 in words is "four hundred sixty-five million, one hundred fifty-three thousand, one hundred thirty-six".