135837972 has 144 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 42456960.

The previous prime is 135837959. The next prime is 135837979. The reversal of 135837972 is 279738531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135837979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719429 + ... + 1719507.

Almost surely, 2^135837972 is an apocalyptic number.

135837972 is a gapful number since it is divisible by the number (12) 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 135837972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

135837972 is an abundant number, since it is smaller than the sum of its proper divisors (243304428).

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

135837972 is a wasteful number, since it uses less digits than its factorization.

135837972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 135837972 is about 11654.9548261673. The cubic root of 135837972 is about 514.0520116737.

The spelling of 135837972 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand, nine hundred seventy-two".