135781900800 has 1440 divisors, whose sum is σ = 575705116800. Its totient is φ = 28178841600.

The previous prime is 135781900783. The next prime is 135781900823. The reversal of 135781900800 is 8009187531.

It is a super-2 number, since 2×135781900800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2225932770 + ... + 2225932830.

It is an arithmetic number, because the mean of its divisors is an integer number (399795220).

Almost surely, 2^135781900800 is an apocalyptic number.

135781900800 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 135781900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287852558400).

135781900800 is an abundant number, since it is smaller than the sum of its proper divisors (439923216000).

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

135781900800 is an equidigital number, since it uses as much as digits as its factorization.

135781900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 135781900800 in words is "one hundred thirty-five billion, seven hundred eighty-one million, nine hundred thousand, eight hundred".