133412977152 has 1600 divisors, whose sum is σ = 539020500480. Its totient is φ = 31882346496.

The previous prime is 133412977147. The next prime is 133412977153. The reversal of 133412977152 is 251779214331.

133412977152 is a `hidden beast` number, since 1 + 3 + 341 + 297 + 7 + 15 + 2 = 666.

It is a super-2 number, since 2×133412977152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133412977098 and 133412977107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133412977153) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2517225958 + ... + 2517226010.

Almost surely, 2^133412977152 is an apocalyptic number.

133412977152 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 133412977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269510250240).

133412977152 is an abundant number, since it is smaller than the sum of its proper divisors (405607523328).

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

133412977152 is a wasteful number, since it uses less digits than its factorization.

133412977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 133412977152 in words is "one hundred thirty-three billion, four hundred twelve million, nine hundred seventy-seven thousand, one hundred fifty-two".