1137016440 has 384 divisors, whose sum is σ = 4641960960. Its totient is φ = 244353024.

The previous prime is 1137016403. The next prime is 1137016459. The reversal of 1137016440 is 446107311.

It is a happy number.

1137016440 is a `hidden beast` number, since 1 + 13 + 7 + 0 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156189 + ... + 1157171.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2^1137016440 is an apocalyptic number.

1137016440 is a gapful number since it is divisible by the number (10) 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 1137016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320980480).

1137016440 is an abundant number, since it is smaller than the sum of its proper divisors (3504944520).

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

1137016440 is a wasteful number, since it uses less digits than its factorization.

1137016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1137016440 is about 33719.6743756520. The cubic root of 1137016440 is about 1043.7317979304.

The spelling of 1137016440 in words is "one billion, one hundred thirty-seven million, sixteen thousand, four hundred forty".