135413100 has 72 divisors (see below), whose sum is σ = 435336720. Its totient is φ = 36109440.

The previous prime is 135413087. The next prime is 135413123. The reversal of 135413100 is 1314531.

135413100 is a `hidden beast` number, since 1 + 354 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×135413100² = 36673415303220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22377 + ... + 27776.

Almost surely, 2^135413100 is an apocalyptic number.

135413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135413100 is an abundant number, since it is smaller than the sum of its proper divisors (299923620).

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

135413100 is a wasteful number, since it uses less digits than its factorization.

135413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50176 (or 50163 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135413100 is about 11636.7134535486. The cubic root of 135413100 is about 513.5155038305.

Adding to 135413100 its reverse (1314531), we get a palindrome (136727631).

It can be divided in two parts, 13541 and 3100, that added together give a square (16641 = 129²).

The spelling of 135413100 in words is "one hundred thirty-five million, four hundred thirteen thousand, one hundred".