146129472 has 84 divisors (see below), whose sum is σ = 422946576. Its totient is φ = 48234240.

The previous prime is 146129471. The next prime is 146129519. The reversal of 146129472 is 274921641.

It is a happy number.

146129472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (146129471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60447 + ... + 62817.

Almost surely, 2^146129472 is an apocalyptic number.

146129472 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 146129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211473288).

146129472 is an abundant number, since it is smaller than the sum of its proper divisors (276817104).

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

146129472 is a wasteful number, since it uses less digits than its factorization.

146129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2483 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 146129472 is about 12088.4023758311. The cubic root of 146129472 is about 526.7193481102.

The spelling of 146129472 in words is "one hundred forty-six million, one hundred twenty-nine thousand, four hundred seventy-two".