135401200 has 60 divisors (see below), whose sum is σ = 354885768. Its totient is φ = 49235200.

The previous prime is 135401183. The next prime is 135401251. The reversal of 135401200 is 2104531.

It is a super-2 number, since 2×135401200² = 36666969922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10987 + ... + 19786.

Almost surely, 2^135401200 is an apocalyptic number.

135401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135401200 is an abundant number, since it is smaller than the sum of its proper divisors (219484568).

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

135401200 is a wasteful number, since it uses less digits than its factorization.

135401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30802 (or 30791 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 135401200 is about 11636.2021295610. The cubic root of 135401200 is about 513.5004609395.

Adding to 135401200 its reverse (2104531), we get a palindrome (137505731).

The spelling of 135401200 in words is "one hundred thirty-five million, four hundred one thousand, two hundred".