146011152 has 80 divisors (see below), whose sum is σ = 435368960. Its totient is φ = 41302656.

The previous prime is 146011141. The next prime is 146011183. The reversal of 146011152 is 251110641.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 32499 + ... + 36717.

It is an arithmetic number, because the mean of its divisors is an integer number (5442112).

Almost surely, 2^146011152 is an apocalyptic number.

146011152 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 146011152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217684480).

146011152 is an abundant number, since it is smaller than the sum of its proper divisors (289357808).

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

146011152 is a wasteful number, since it uses less digits than its factorization.

146011152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 146011152 is about 12083.5074378262. The cubic root of 146011152 is about 526.5771494138.

Adding to 146011152 its reverse (251110641), we get a palindrome (397121793).

It can be divided in two parts, 14601 and 1152, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 146011152 in words is "one hundred forty-six million, eleven thousand, one hundred fifty-two".