1013765148 has 72 divisors (see below), whose sum is σ = 2959997040. Its totient is φ = 289128960.

The previous prime is 1013765143. The next prime is 1013765167. The reversal of 1013765148 is 8415673101.

1013765148 is a `hidden beast` number, since 1 + 0 + 137 + 6 + 514 + 8 = 666.

1013765148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1013765143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68563 + ... + 82026.

It is an arithmetic number, because the mean of its divisors is an integer number (41111070).

Almost surely, 2^1013765148 is an apocalyptic number.

1013765148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1013765148 is an abundant number, since it is smaller than the sum of its proper divisors (1946231892).

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

1013765148 is a wasteful number, since it uses less digits than its factorization.

1013765148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150627 (or 150622 counting only the distinct ones).

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

The square root of 1013765148 is about 31839.6788300385. The cubic root of 1013765148 is about 1004.5674889491.

The spelling of 1013765148 in words is "one billion, thirteen million, seven hundred sixty-five thousand, one hundred forty-eight".