146061792 has 120 divisors (see below), whose sum is σ = 441463176. Its totient is φ = 47340288.

The previous prime is 146061787. The next prime is 146061859. The reversal of 146061792 is 297160641.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95143 + ... + 96665.

Almost surely, 2^146061792 is an apocalyptic number.

146061792 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 146061792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731588).

146061792 is an abundant number, since it is smaller than the sum of its proper divisors (295401384).

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

146061792 is a wasteful number, since it uses less digits than its factorization.

146061792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 146061792 is about 12085.6026742567. The cubic root of 146061792 is about 526.6380187020.

The spelling of 146061792 in words is "one hundred forty-six million, sixty-one thousand, seven hundred ninety-two".