135392400 has 360 divisors, whose sum is σ = 554089536. Its totient is φ = 30182400.

The previous prime is 135392399. The next prime is 135392401. The reversal of 135392400 is 4293531.

It is an interprime number because it is at equal distance from previous prime (135392399) and next prime (135392401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×135392400² = 36662203955520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135392401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514669 + ... + 514931.

Almost surely, 2^135392400 is an apocalyptic number.

135392400 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 135392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

135392400 is an abundant number, since it is smaller than the sum of its proper divisors (418697136).

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

135392400 is a wasteful number, since it uses less digits than its factorization.

135392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135392400 is about 11635.8239931687. The cubic root of 135392400 is about 513.4893362179.

The spelling of 135392400 in words is "one hundred thirty-five million, three hundred ninety-two thousand, four hundred".