133957837728 has 864 divisors, whose sum is σ = 483113030400. Its totient is φ = 34871316480.

The previous prime is 133957837723. The next prime is 133957837733. The reversal of 133957837728 is 827738759331.

133957837728 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 578 + 37 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (133957837723) and next prime (133957837733).

It is a super-2 number, since 2×133957837728² (a number of 23 digits) contains 22 as substring.

Its product of digits (53343360) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (133957837721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 679988926 + ... + 679989122.

It is an arithmetic number, because the mean of its divisors is an integer number (559158600).

Almost surely, 2^133957837728 is an apocalyptic number.

133957837728 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 133957837728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241556515200).

133957837728 is an abundant number, since it is smaller than the sum of its proper divisors (349155192672).

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

133957837728 is a wasteful number, since it uses less digits than its factorization.

133957837728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 133957837728 in words is "one hundred thirty-three billion, nine hundred fifty-seven million, eight hundred thirty-seven thousand, seven hundred twenty-eight".