135977751800 has 96 divisors (see below), whose sum is σ = 345402245520. Its totient is φ = 49372876800.

The previous prime is 135977751751. The next prime is 135977751809. The reversal of 135977751800 is 8157779531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135977751809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443752 + ... + 1535048.

Almost surely, 2^135977751800 is an apocalyptic number.

135977751800 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 135977751800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172701122760).

135977751800 is an abundant number, since it is smaller than the sum of its proper divisors (209424493720).

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

135977751800 is a wasteful number, since it uses less digits than its factorization.

135977751800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92001 (or 91992 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 53.

The spelling of 135977751800 in words is "one hundred thirty-five billion, nine hundred seventy-seven million, seven hundred fifty-one thousand, eight hundred".