152129406 has 96 divisors (see below), whose sum is σ = 375674112. Its totient is φ = 40634880.

The previous prime is 152129387. The next prime is 152129423. The reversal of 152129406 is 604921251.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256246 + ... + 256838.

It is an arithmetic number, because the mean of its divisors is an integer number (3913272).

Almost surely, 2^152129406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152129406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187837056).

152129406 is an abundant number, since it is smaller than the sum of its proper divisors (223544706).

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

152129406 is a wasteful number, since it uses less digits than its factorization.

152129406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 152129406 is about 12334.0749957182. The cubic root of 152129406 is about 533.8317373045.

The spelling of 152129406 in words is "one hundred fifty-two million, one hundred twenty-nine thousand, four hundred six".