1137952025712 has 120 divisors (see below), whose sum is σ = 3202747392000. Its totient is φ = 377168482944.

The previous prime is 1137952025687. The next prime is 1137952025741. The reversal of 1137952025712 is 2175202597311.

1137952025712 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 5 + 2 + 0 + 2 + 571 + 2 = 666.

It is a super-3 number, since 3×1137952025712³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47642989 + ... + 47666867.

It is an arithmetic number, because the mean of its divisors is an integer number (26689561600).

Almost surely, 2^{1137952025712} is an apocalyptic number.

1137952025712 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 1137952025712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601373696000).

1137952025712 is an abundant number, since it is smaller than the sum of its proper divisors (2064795366288).

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

1137952025712 is a wasteful number, since it uses less digits than its factorization.

1137952025712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25755 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1137952025712 in words is "one trillion, one hundred thirty-seven billion, nine hundred fifty-two million, twenty-five thousand, seven hundred twelve".