135954663780 has 384 divisors, whose sum is σ = 443246630400. Its totient is φ = 30855168000.

The previous prime is 135954663709. The next prime is 135954663863. The reversal of 135954663780 is 87366459531.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 135954663780.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91305276 + ... + 91306764.

It is an arithmetic number, because the mean of its divisors is an integer number (1154288100).

Almost surely, 2^135954663780 is an apocalyptic number.

135954663780 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 135954663780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221623315200).

135954663780 is an abundant number, since it is smaller than the sum of its proper divisors (307291966620).

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

135954663780 is a wasteful number, since it uses less digits than its factorization.

135954663780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 135954663780 in words is "one hundred thirty-five billion, nine hundred fifty-four million, six hundred sixty-three thousand, seven hundred eighty".