135879899887440 has 200 divisors, whose sum is σ = 476603609343048. Its totient is φ = 35875880985600.

The previous prime is 135879899887411. The next prime is 135879899887447. The reversal of 135879899887440 is 44788998978531.

135879899887440 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 7 + 9 + 89 + 9 + 8 + 87 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76482790757136 + 59397109130304 = 8745444^2 + 7706952^2 .

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135879899887447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103153047 + ... + 104462006.

Almost surely, 2^{135879899887440} is an apocalyptic number.

135879899887440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135879899887440 is an abundant number, since it is smaller than the sum of its proper divisors (340723709455608).

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

135879899887440 is a wasteful number, since it uses less digits than its factorization.

135879899887440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207615179 (or 207615164 counting only the distinct ones).

The product of its (nonzero) digits is 35115171840, while the sum is 90.

The spelling of 135879899887440 in words is "one hundred thirty-five trillion, eight hundred seventy-nine billion, eight hundred ninety-nine million, eight hundred eighty-seven thousand, four hundred forty".