152946126 has 48 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 48589200.

The previous prime is 152946119. The next prime is 152946139. The reversal of 152946126 is 621649251.

152946126 is a `hidden beast` number, since 1 + 529 + 4 + 6 + 126 = 666.

It is a super-3 number, since 3×152946126³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 35341 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (7234656).

Almost surely, 2^152946126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152946126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

152946126 is an abundant number, since it is smaller than the sum of its proper divisors (194317362).

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

152946126 is a wasteful number, since it uses less digits than its factorization.

152946126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4194 counting only the distinct ones).

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

The square root of 152946126 is about 12367.1389577380. The cubic root of 152946126 is about 534.7853402666.

The spelling of 152946126 in words is "one hundred fifty-two million, nine hundred forty-six thousand, one hundred twenty-six".