1137672192 has 128 divisors (see below), whose sum is σ = 3095349120. Its totient is φ = 371589120.

The previous prime is 1137672191. The next prime is 1137672197. The reversal of 1137672192 is 2912767311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1137672192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137672191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6979503 + ... + 6979665.

It is an arithmetic number, because the mean of its divisors is an integer number (24182415).

Almost surely, 2^1137672192 is an apocalyptic number.

1137672192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547674560).

1137672192 is an abundant number, since it is smaller than the sum of its proper divisors (1957676928).

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

1137672192 is an frugal number, since it uses more digits than its factorization.

1137672192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 1137672192 is about 33729.3965555270. The cubic root of 1137672192 is about 1043.9324100045.

The spelling of 1137672192 in words is "one billion, one hundred thirty-seven million, six hundred seventy-two thousand, one hundred ninety-two".