1137481712640 has 1408 divisors, whose sum is σ = 5238223872000. Its totient is φ = 227316989952.

The previous prime is 1137481712639. The next prime is 1137481712641. The reversal of 1137481712640 is 462171847311.

1137481712640 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 481 + 7 + 126 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1137481712639) and next prime (1137481712641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1137481712641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239014581 + ... + 239019339.

Almost surely, 2^{1137481712640} is an apocalyptic number.

1137481712640 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 1137481712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619111936000).

1137481712640 is an abundant number, since it is smaller than the sum of its proper divisors (4100742159360).

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

1137481712640 is a wasteful number, since it uses less digits than its factorization.

1137481712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1137481712640 in words is "one trillion, one hundred thirty-seven billion, four hundred eighty-one million, seven hundred twelve thousand, six hundred forty".