133757020339488 has 2304 divisors, whose sum is σ = 511356789006336. Its totient is φ = 32212556513280.

The previous prime is 133757020339483. The next prime is 133757020339499. The reversal of 133757020339488 is 884933020757331.

133757020339488 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 570 + 20 + 3 + 39 + 4 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (133757020339483) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 193570217223 + ... + 193570217913.

It is an arithmetic number, because the mean of its divisors is an integer number (221943050784).

Almost surely, 2^{133757020339488} is an apocalyptic number.

133757020339488 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 133757020339488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255678394503168).

133757020339488 is an abundant number, since it is smaller than the sum of its proper divisors (377599768666848).

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

133757020339488 is a wasteful number, since it uses less digits than its factorization.

133757020339488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 133757020339488 in words is "one hundred thirty-three trillion, seven hundred fifty-seven billion, twenty million, three hundred thirty-nine thousand, four hundred eighty-eight".