146795136 has 128 divisors (see below), whose sum is σ = 418608000. Its totient is φ = 45416448.

The previous prime is 146795123. The next prime is 146795149. The reversal of 146795136 is 631597641.

146795136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146795123) and next prime (146795149).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737565 + ... + 737763.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^146795136 is an apocalyptic number.

146795136 is a gapful number since it is divisible by the number (16) 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 146795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

146795136 is an abundant number, since it is smaller than the sum of its proper divisors (271812864).

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

146795136 is a wasteful number, since it uses less digits than its factorization.

146795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 146795136 is about 12115.9042584530. The cubic root of 146795136 is about 527.5179254632.

The spelling of 146795136 in words is "one hundred forty-six million, seven hundred ninety-five thousand, one hundred thirty-six".