901463136 has 192 divisors, whose sum is σ = 2824335360. Its totient is φ = 246343680.

The previous prime is 901463089. The next prime is 901463177. The reversal of 901463136 is 631364109.

It is a junction number, because it is equal to n+sod(n) for n = 901463097 and 901463106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270490 + ... + 2270886.

It is an arithmetic number, because the mean of its divisors is an integer number (14710080).

Almost surely, 2^901463136 is an apocalyptic number.

901463136 is a gapful number since it is divisible by the number (96) 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 901463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412167680).

901463136 is an abundant number, since it is smaller than the sum of its proper divisors (1922872224).

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

901463136 is a wasteful number, since it uses less digits than its factorization.

901463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 901463136 is about 30024.3756970899. The cubic root of 901463136 is about 966.0123021808.

The spelling of 901463136 in words is "nine hundred one million, four hundred sixty-three thousand, one hundred thirty-six".