135750700800 has 648 divisors, whose sum is σ = 570223534608. Its totient is φ = 30375936000.

The previous prime is 135750700759. The next prime is 135750700861. The reversal of 135750700800 is 8007057531.

135750700800 is a `hidden beast` number, since 1 + 3 + 575 + 0 + 7 + 0 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×135750700800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8228560 + ... + 8245040.

Almost surely, 2^135750700800 is an apocalyptic number.

135750700800 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 135750700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285111767304).

135750700800 is an abundant number, since it is smaller than the sum of its proper divisors (434472833808).

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

135750700800 is a wasteful number, since it uses less digits than its factorization.

135750700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16515 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 135750700800 in words is "one hundred thirty-five billion, seven hundred fifty million, seven hundred thousand, eight hundred".