133877145600 has 1344 divisors, whose sum is σ = 561666908160. Its totient is φ = 30965760000.

The previous prime is 133877145581. The next prime is 133877145641. The reversal of 133877145600 is 6541778331.

133877145600 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 77 + 14 + 560 + 0 = 666.

It is a super-2 number, since 2×133877145600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1885593565 + ... + 1885593635.

Almost surely, 2^133877145600 is an apocalyptic number.

133877145600 is a gapful number since it is divisible by the number (10) 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 133877145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280833454080).

133877145600 is an abundant number, since it is smaller than the sum of its proper divisors (427789762560).

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

133877145600 is a wasteful number, since it uses less digits than its factorization.

133877145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 133877145600 in words is "one hundred thirty-three billion, eight hundred seventy-seven million, one hundred forty-five thousand, six hundred".