135137880900 has 360 divisors, whose sum is σ = 479015903520. Its totient is φ = 32683392000.

The previous prime is 135137880841. The next prime is 135137880901. The reversal of 135137880900 is 9088731531.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135137880901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43746556 + ... + 43749644.

It is an arithmetic number, because the mean of its divisors is an integer number (1330599732).

Almost surely, 2^135137880900 is an apocalyptic number.

135137880900 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 135137880900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239507951760).

135137880900 is an abundant number, since it is smaller than the sum of its proper divisors (343878022620).

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

135137880900 is a wasteful number, since it uses less digits than its factorization.

135137880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 1351378 and 80900, that added together give a triangular number (1432278 = T₁₆₉₂).

The spelling of 135137880900 in words is "one hundred thirty-five billion, one hundred thirty-seven million, eight hundred eighty thousand, nine hundred".