1983137915136 has 576 divisors, whose sum is σ = 6552625766400. Its totient is φ = 519882375168.

The previous prime is 1983137915123. The next prime is 1983137915137. The reversal of 1983137915136 is 6315197313891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1983137915137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427674610 + ... + 427679246.

It is an arithmetic number, because the mean of its divisors is an integer number (11376086400).

Almost surely, 2^{1983137915136} is an apocalyptic number.

1983137915136 is a gapful number since it is divisible by the number (16) 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 1983137915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276312883200).

1983137915136 is an abundant number, since it is smaller than the sum of its proper divisors (4569487851264).

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

1983137915136 is a wasteful number, since it uses less digits than its factorization.

1983137915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4800 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 57.

The spelling of 1983137915136 in words is "one trillion, nine hundred eighty-three billion, one hundred thirty-seven million, nine hundred fifteen thousand, one hundred thirty-six".