1137543264 has 504 divisors, whose sum is σ = 4102894656. Its totient is φ = 307929600.

The previous prime is 1137543257. The next prime is 1137543271. The reversal of 1137543264 is 4623457311.

It is an interprime number because it is at equal distance from previous prime (1137543257) and next prime (1137543271).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36694929 + ... + 36694959.

It is an arithmetic number, because the mean of its divisors is an integer number (8140664).

Almost surely, 2^1137543264 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 1137543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051447328).

1137543264 is an abundant number, since it is smaller than the sum of its proper divisors (2965351392).

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

1137543264 is a wasteful number, since it uses less digits than its factorization.

1137543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1137543264 is about 33727.4852901903. The cubic root of 1137543264 is about 1043.8929735707.

The spelling of 1137543264 in words is "one billion, one hundred thirty-seven million, five hundred forty-three thousand, two hundred sixty-four".