135414072 has 32 divisors (see below), whose sum is σ = 376150800. Its totient is φ = 45137952.

The previous prime is 135414067. The next prime is 135414077. The reversal of 135414072 is 270414531.

135414072 is a `hidden beast` number, since 13 + 541 + 40 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (135414067) and next prime (135414077).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135414077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313243 + ... + 313674.

Almost surely, 2^135414072 is an apocalyptic number.

135414072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135414072 is an abundant number, since it is smaller than the sum of its proper divisors (240736728).

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

135414072 is a wasteful number, since it uses less digits than its factorization.

135414072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626932 (or 626922 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 135414072 is about 11636.7552178432. The cubic root of 135414072 is about 513.5167325050.

The spelling of 135414072 in words is "one hundred thirty-five million, four hundred fourteen thousand, seventy-two".