1137311825640 has 128 divisors (see below), whose sum is σ = 3530229350400. Its totient is φ = 292771942400.

The previous prime is 1137311825567. The next prime is 1137311825647. The reversal of 1137311825640 is 465281137311.

It is a super-2 number, since 2×1137311825640² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1137311825592 and 1137311825601.

It is not an unprimeable number, because it can be changed into a prime (1137311825647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21351040 + ... + 21404240.

It is an arithmetic number, because the mean of its divisors is an integer number (27579916800).

Almost surely, 2^{1137311825640} is an apocalyptic number.

1137311825640 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 1137311825640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765114675200).

1137311825640 is an abundant number, since it is smaller than the sum of its proper divisors (2392917524760).

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

1137311825640 is a wasteful number, since it uses less digits than its factorization.

1137311825640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59387 (or 59383 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1137311825640 in words is "one trillion, one hundred thirty-seven billion, three hundred eleven million, eight hundred twenty-five thousand, six hundred forty".