113762138700510 has 96 divisors (see below), whose sum is σ = 305338611603168. Its totient is φ = 29368846725120.

The previous prime is 113762138700493. The next prime is 113762138700521. The reversal of 113762138700510 is 15007831267311.

113762138700510 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 62 + 1 + 3 + 8 + 70 + 0 + 510 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a Curzon number.

It is a congruent number.

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, 129633051 + ... + 130507670.

It is an arithmetic number, because the mean of its divisors is an integer number (3180610537533).

Almost surely, 2^{113762138700510} is an apocalyptic number.

113762138700510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113762138700510 is an abundant number, since it is smaller than the sum of its proper divisors (191576472902658).

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

113762138700510 is a wasteful number, since it uses less digits than its factorization.

113762138700510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260140890 (or 260140887 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

Adding to 113762138700510 its reverse (15007831267311), we get a palindrome (128769969967821).

The spelling of 113762138700510 in words is "one hundred thirteen trillion, seven hundred sixty-two billion, one hundred thirty-eight million, seven hundred thousand, five hundred ten".