1150148736 has 384 divisors, whose sum is σ = 4038465600. Its totient is φ = 309657600.

The previous prime is 1150148693. The next prime is 1150148749. The reversal of 1150148736 is 6378410511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1150148736² = 2645684229844795392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1150148736.

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, 4092916 + ... + 4093196.

Almost surely, 2^1150148736 is an apocalyptic number.

1150148736 is a gapful number since it is divisible by the number (16) 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 1150148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019232800).

1150148736 is an abundant number, since it is smaller than the sum of its proper divisors (2888316864).

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

1150148736 is a wasteful number, since it uses less digits than its factorization.

1150148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1150148736 is about 33913.8428374020. The cubic root of 1150148736 is about 1047.7347190951.

The spelling of 1150148736 in words is "one billion, one hundred fifty million, one hundred forty-eight thousand, seven hundred thirty-six".