135437130 has 128 divisors (see below), whose sum is σ = 402796800. Its totient is φ = 32182272.

The previous prime is 135437089. The next prime is 135437161. The reversal of 135437130 is 31734531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135437094 and 135437103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86434 + ... + 87986.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^135437130 is an apocalyptic number.

135437130 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 135437130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

135437130 is an abundant number, since it is smaller than the sum of its proper divisors (267359670).

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

135437130 is a wasteful number, since it uses less digits than its factorization.

135437130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135437130 is about 11637.7459157691. The cubic root of 135437130 is about 513.5458776710.

The spelling of 135437130 in words is "one hundred thirty-five million, four hundred thirty-seven thousand, one hundred thirty".