133986510360 has 192 divisors, whose sum is σ = 440092224000. Its totient is φ = 35350318080.

The previous prime is 133986510349. The next prime is 133986510409. The reversal of 133986510360 is 63015689331.

133986510360 is a `hidden beast` number, since 13 + 3 + 98 + 6 + 510 + 36 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 32213961 + ... + 32218119.

It is an arithmetic number, because the mean of its divisors is an integer number (2292147000).

Almost surely, 2^133986510360 is an apocalyptic number.

133986510360 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 133986510360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220046112000).

133986510360 is an abundant number, since it is smaller than the sum of its proper divisors (306105713640).

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

133986510360 is a wasteful number, since it uses less digits than its factorization.

133986510360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 133986510360 in words is "one hundred thirty-three billion, nine hundred eighty-six million, five hundred ten thousand, three hundred sixty".