135698976 has 192 divisors, whose sum is σ = 459567360. Its totient is φ = 38631168.

The previous prime is 135698957. The next prime is 135698977. The reversal of 135698976 is 679896531.

135698976 is a `hidden beast` number, since 1 + 3 + 569 + 8 + 9 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime factors (315).

It is not an unprimeable number, because it can be changed into a prime (135698977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489750 + ... + 490026.

It is an arithmetic number, because the mean of its divisors is an integer number (2393580).

Almost surely, 2^135698976 is an apocalyptic number.

135698976 is a gapful number since it is divisible by the number (16) 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 135698976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229783680).

135698976 is an abundant number, since it is smaller than the sum of its proper divisors (323868384).

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

135698976 is an frugal number, since it uses more digits than its factorization.

135698976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 289 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 135698976 is about 11648.9903425147. The cubic root of 135698976 is about 513.8766175209.

The spelling of 135698976 in words is "one hundred thirty-five million, six hundred ninety-eight thousand, nine hundred seventy-six".