834013152 has 192 divisors, whose sum is σ = 2855946240. Its totient is φ = 231787008.

The previous prime is 834013139. The next prime is 834013157. The reversal of 834013152 is 251310438.

It is a happy number.

834013152 is a `hidden beast` number, since 8 + 340 + 1 + 315 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834013157) 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, 221913 + ... + 225639.

It is an arithmetic number, because the mean of its divisors is an integer number (14874720).

Almost surely, 2^834013152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427973120).

834013152 is an abundant number, since it is smaller than the sum of its proper divisors (2021933088).

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

834013152 is a wasteful number, since it uses less digits than its factorization.

834013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 834013152 is about 28879.2858637467. The cubic root of 834013152 is about 941.2918528714.

The spelling of 834013152 in words is "eight hundred thirty-four million, thirteen thousand, one hundred fifty-two".