136948224 has 160 divisors (see below), whose sum is σ = 427401216. Its totient is φ = 38154240.

The previous prime is 136948213. The next prime is 136948261. The reversal of 136948224 is 422849631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505209 + ... + 505479.

Almost surely, 2^136948224 is an apocalyptic number.

136948224 is a gapful number since it is divisible by the number (14) 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 136948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213700608).

136948224 is an abundant number, since it is smaller than the sum of its proper divisors (290452992).

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

136948224 is an equidigital number, since it uses as much as digits as its factorization.

136948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 136948224 is about 11702.4879406048. The cubic root of 136948224 is about 515.4487231848.

The spelling of 136948224 in words is "one hundred thirty-six million, nine hundred forty-eight thousand, two hundred twenty-four".