135400272 has 80 divisors (see below), whose sum is σ = 401498112. Its totient is φ = 38517120.

The previous prime is 135400271. The next prime is 135400273. The reversal of 135400272 is 272004531.

It is an interprime number because it is at equal distance from previous prime (135400271) and next prime (135400273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135400271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90313 + ... + 91799.

Almost surely, 2^135400272 is an apocalyptic number.

135400272 is a gapful number since it is divisible by the number (12) 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 135400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200749056).

135400272 is an abundant number, since it is smaller than the sum of its proper divisors (266097840).

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

135400272 is a wasteful number, since it uses less digits than its factorization.

135400272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 135400272 is about 11636.1622539392. The cubic root of 135400272 is about 513.4992878098.

The spelling of 135400272 in words is "one hundred thirty-five million, four hundred thousand, two hundred seventy-two".