1137215688 has 128 divisors (see below), whose sum is σ = 3361720320. Its totient is φ = 313827840.

The previous prime is 1137215659. The next prime is 1137215689. The reversal of 1137215688 is 8865127311.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (1137215689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736245 + ... + 737787.

It is an arithmetic number, because the mean of its divisors is an integer number (26263440).

Almost surely, 2^1137215688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137215688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680860160).

1137215688 is an abundant number, since it is smaller than the sum of its proper divisors (2224504632).

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

1137215688 is a wasteful number, since it uses less digits than its factorization.

1137215688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1703 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 1137215688 is about 33722.6287231586. The cubic root of 1137215688 is about 1043.7927613781.

The spelling of 1137215688 in words is "one billion, one hundred thirty-seven million, two hundred fifteen thousand, six hundred eighty-eight".