133737068520 has 640 divisors, whose sum is σ = 528877641600. Its totient is φ = 29959372800.

The previous prime is 133737068497. The next prime is 133737068533. The reversal of 133737068520 is 25860737331.

133737068520 is a `hidden beast` number, since 1 + 3 + 37 + 37 + 0 + 68 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27761152 + ... + 27765968.

It is an arithmetic number, because the mean of its divisors is an integer number (826371315).

Almost surely, 2^133737068520 is an apocalyptic number.

133737068520 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 133737068520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264438820800).

133737068520 is an abundant number, since it is smaller than the sum of its proper divisors (395140573080).

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

133737068520 is a wasteful number, since it uses less digits than its factorization.

133737068520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 133737068520 in words is "one hundred thirty-three billion, seven hundred thirty-seven million, sixty-eight thousand, five hundred twenty".