1137501828288 has 140 divisors (see below), whose sum is σ = 3853613569872. Its totient is φ = 325000512000.

The previous prime is 1137501828283. The next prime is 1137501828289. The reversal of 1137501828288 is 8828281057311.

1137501828288 is a `hidden beast` number, since 1 + 1 + 37 + 501 + 8 + 28 + 2 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1137501828283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15636963 + ... + 15709538.

Almost surely, 2^{1137501828288} is an apocalyptic number.

1137501828288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1137501828288 is an abundant number, since it is smaller than the sum of its proper divisors (2716111741584).

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

1137501828288 is an equidigital number, since it uses as much as digits as its factorization.

1137501828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346532 (or 31346513 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1137501828288 in words is "one trillion, one hundred thirty-seven billion, five hundred one million, eight hundred twenty-eight thousand, two hundred eighty-eight".