134813952 has 216 divisors, whose sum is σ = 479146304. Its totient is φ = 35500032.

The previous prime is 134813941. The next prime is 134813963. The reversal of 134813952 is 259318431.

It is an interprime number because it is at equal distance from previous prime (134813941) and next prime (134813963).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209343 + ... + 209985.

Almost surely, 2^134813952 is an apocalyptic number.

134813952 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 134813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239573152).

134813952 is an abundant number, since it is smaller than the sum of its proper divisors (344332352).

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

134813952 is a wasteful number, since it uses less digits than its factorization.

134813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 134813952 is about 11610.9410471331. The cubic root of 134813952 is about 512.7570181791.

The spelling of 134813952 in words is "one hundred thirty-four million, eight hundred thirteen thousand, nine hundred fifty-two".