136829952 has 264 divisors, whose sum is σ = 476050320. Its totient is φ = 38707200.

The previous prime is 136829951. The next prime is 136829971. The reversal of 136829952 is 259928631.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (233280) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 136829898 and 136829907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136829951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354702 + ... + 1354802.

Almost surely, 2^136829952 is an apocalyptic number.

136829952 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 136829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238025160).

136829952 is an abundant number, since it is smaller than the sum of its proper divisors (339220368).

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

136829952 is a wasteful number, since it uses less digits than its factorization.

136829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 136829952 is about 11697.4335646756. The cubic root of 136829952 is about 515.3002955338.

The spelling of 136829952 in words is "one hundred thirty-six million, eight hundred twenty-nine thousand, nine hundred fifty-two".