135537405810 has 128 divisors (see below), whose sum is σ = 337307169024. Its totient is φ = 34828185600.

The previous prime is 135537405803. The next prime is 135537405827. The reversal of 135537405810 is 18504735531.

It is a super-2 number, since 2×135537405810² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91393329 + ... + 91394811.

It is an arithmetic number, because the mean of its divisors is an integer number (2635212258).

Almost surely, 2^135537405810 is an apocalyptic number.

135537405810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135537405810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168653584512).

135537405810 is an abundant number, since it is smaller than the sum of its proper divisors (201769763214).

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

135537405810 is a wasteful number, since it uses less digits than its factorization.

135537405810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268.

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 135537405810 in words is "one hundred thirty-five billion, five hundred thirty-seven million, four hundred five thousand, eight hundred ten".