133857219686400 has 7488 divisors, whose sum is σ = 668693843712000. Its totient is φ = 26094474362880.

The previous prime is 133857219686387. The next prime is 133857219686401. The reversal of 133857219686400 is 4686912758331.

133857219686400 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 5 + 7 + 219 + 6 + 8 + 6 + 400 = 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 (133857219686401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5819879116789 + ... + 5819879116811.

It is a 1-persistent number, because it is pandigital, but 2⋅133857219686400 = 267714439372800 is not.

Almost surely, 2^{133857219686400} is an apocalyptic number.

133857219686400 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 133857219686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334346921856000).

133857219686400 is an abundant number, since it is smaller than the sum of its proper divisors (534836624025600).

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

133857219686400 is a wasteful number, since it uses less digits than its factorization.

133857219686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 133857219686400 in words is "one hundred thirty-three trillion, eight hundred fifty-seven billion, two hundred nineteen million, six hundred eighty-six thousand, four hundred".