135977000 has 32 divisors (see below), whose sum is σ = 318188520. Its totient is φ = 54390400.

The previous prime is 135976993. The next prime is 135977003. The reversal of 135977000 is 779531.

It can be written as a sum of positive squares in 4 ways, for example, as 70593604 + 65383396 = 8402^2 + 8086^2 .

It is not an unprimeable number, because it can be changed into a prime (135977003) 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, 66989 + ... + 68988.

Almost surely, 2^135977000 is an apocalyptic number.

135977000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135977000 is an abundant number, since it is smaller than the sum of its proper divisors (182211520).

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

135977000 is a wasteful number, since it uses less digits than its factorization.

135977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135998 (or 135984 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 32.

The square root of 135977000 is about 11660.9176311301. The cubic root of 135977000 is about 514.2273265578.

The spelling of 135977000 in words is "one hundred thirty-five million, nine hundred seventy-seven thousand".