133531878780 has 384 divisors, whose sum is σ = 457570713600. Its totient is φ = 32178643200.

The previous prime is 133531878751. The next prime is 133531878793. The reversal of 133531878780 is 87878135331.

133531878780 is a `hidden beast` number, since 1 + 33 + 531 + 8 + 7 + 8 + 78 + 0 = 666.

It is a super-2 number, since 2×133531878780² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134744085 + ... + 134745075.

It is an arithmetic number, because the mean of its divisors is an integer number (1191590400).

Almost surely, 2^133531878780 is an apocalyptic number.

133531878780 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 133531878780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228785356800).

133531878780 is an abundant number, since it is smaller than the sum of its proper divisors (324038834820).

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

133531878780 is a wasteful number, since it uses less digits than its factorization.

133531878780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 133531878780 in words is "one hundred thirty-three billion, five hundred thirty-one million, eight hundred seventy-eight thousand, seven hundred eighty".