133761858048 has 960 divisors, whose sum is σ = 508094146560. Its totient is φ = 32893599744.

The previous prime is 133761858023. The next prime is 133761858091. The reversal of 133761858048 is 840858167331.

It is a happy number.

133761858048 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 6 + 18 + 580 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133761857985 and 133761858003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820624815 + ... + 820624977.

It is an arithmetic number, because the mean of its divisors is an integer number (529264736).

Almost surely, 2^133761858048 is an apocalyptic number.

133761858048 is a gapful number since it is divisible by the number (18) 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 133761858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254047073280).

133761858048 is an abundant number, since it is smaller than the sum of its proper divisors (374332288512).

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

133761858048 is a wasteful number, since it uses less digits than its factorization.

133761858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

It can be divided in two parts, 13376 and 1858048, that added together give a square (1871424 = 1368²).

The spelling of 133761858048 in words is "one hundred thirty-three billion, seven hundred sixty-one million, eight hundred fifty-eight thousand, forty-eight".