1040135133015 has 128 divisors (see below), whose sum is σ = 2068733399040. Its totient is φ = 491521996800.

The previous prime is 1040135132999. The next prime is 1040135133029. The reversal of 1040135133015 is 5103315310401.

It is a happy number.

1040135133015 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 351 + 3 + 301 + 5 = 666.

It is not a de Polignac number, because 1040135133015 - 2⁴ = 1040135132999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1040135133015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16789677 + ... + 16851513.

It is an arithmetic number, because the mean of its divisors is an integer number (16161979680).

Almost surely, 2^{1040135133015} is an apocalyptic number.

1040135133015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1040135133015 is a deficient number, since it is larger than the sum of its proper divisors (1028598266025).

1040135133015 is a wasteful number, since it uses less digits than its factorization.

1040135133015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62150 (or 62144 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1040135133015 in words is "one trillion, forty billion, one hundred thirty-five million, one hundred thirty-three thousand, fifteen".