146156352 has 84 divisors (see below), whose sum is σ = 404530560. Its totient is φ = 46568192.

The previous prime is 146156321. The next prime is 146156357. The reversal of 146156352 is 253651641.

146156352 = T₄₆₃ + T₄₆₄ + ... + T₉₉₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146156357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100849 + ... + 102287.

It is an arithmetic number, because the mean of its divisors is an integer number (4815840).

Almost surely, 2^146156352 is an apocalyptic number.

146156352 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 146156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202265280).

146156352 is an abundant number, since it is smaller than the sum of its proper divisors (258374208).

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

146156352 is a wasteful number, since it uses less digits than its factorization.

146156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1467 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 146156352 is about 12089.5141341577. The cubic root of 146156352 is about 526.7516421844.

The spelling of 146156352 in words is "one hundred forty-six million, one hundred fifty-six thousand, three hundred fifty-two".