135377200 has 90 divisors (see below), whose sum is σ = 378399516. Its totient is φ = 46408320.

The previous prime is 135377197. The next prime is 135377213. The reversal of 135377200 is 2773531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16147 + ... + 23053.

Almost surely, 2^135377200 is an apocalyptic number.

135377200 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 135377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189199758).

135377200 is an abundant number, since it is smaller than the sum of its proper divisors (243022316).

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

135377200 is a wasteful number, since it uses less digits than its factorization.

135377200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 135377200 is about 11635.1708195454. The cubic root of 135377200 is about 513.4701196543.

The spelling of 135377200 in words is "one hundred thirty-five million, three hundred seventy-seven thousand, two hundred".