1137072523104 has 360 divisors, whose sum is σ = 3894108438528. Its totient is φ = 324541002240.

The previous prime is 1137072523091. The next prime is 1137072523273. The reversal of 1137072523104 is 4013252707311.

1137072523104 is a `hidden beast` number, since 1 + 1 + 370 + 7 + 252 + 31 + 0 + 4 = 666.

It is a super-2 number, since 2×1137072523104² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138815649 + ... + 138823839.

Almost surely, 2^{1137072523104} is an apocalyptic number.

1137072523104 is a gapful number since it is divisible by the number (14) 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 1137072523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947054219264).

1137072523104 is an abundant number, since it is smaller than the sum of its proper divisors (2757035915424).

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

1137072523104 is a wasteful number, since it uses less digits than its factorization.

1137072523104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 1137072523104 in words is "one trillion, one hundred thirty-seven billion, seventy-two million, five hundred twenty-three thousand, one hundred four".