1137933121752 has 256 divisors, whose sum is σ = 3906372096000. Its totient is φ = 299487891456.

The previous prime is 1137933121747. The next prime is 1137933121771. The reversal of 1137933121752 is 2571213397311.

1137933121752 is a `hidden beast` number, since 11 + 379 + 3 + 3 + 1 + 217 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1137933121698 and 1137933121707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737124 + ... + 1679052.

It is an arithmetic number, because the mean of its divisors is an integer number (15259266000).

Almost surely, 2^{1137933121752} is an apocalyptic number.

1137933121752 is a gapful number since it is divisible by the number (12) 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 1137933121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953186048000).

1137933121752 is an abundant number, since it is smaller than the sum of its proper divisors (2768438974248).

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

1137933121752 is a wasteful number, since it uses less digits than its factorization.

1137933121752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942015 (or 942005 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 1137933121752 in words is "one trillion, one hundred thirty-seven billion, nine hundred thirty-three million, one hundred twenty-one thousand, seven hundred fifty-two".