135674880 has 264 divisors, whose sum is σ = 483517776. Its totient is φ = 32440320.

The previous prime is 135674873. The next prime is 135674887. The reversal of 135674880 is 88476531.

It is an interprime number because it is at equal distance from previous prime (135674873) and next prime (135674887).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135674887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858524 + ... + 1858596.

Almost surely, 2^135674880 is an apocalyptic number.

135674880 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 135674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241758888).

135674880 is an abundant number, since it is smaller than the sum of its proper divisors (347842896).

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

135674880 is a wasteful number, since it uses less digits than its factorization.

135674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 135674880 is about 11647.9560438731. The cubic root of 135674880 is about 513.8461994482.

The spelling of 135674880 in words is "one hundred thirty-five million, six hundred seventy-four thousand, eight hundred eighty".