146553372 has 72 divisors (see below), whose sum is σ = 429391872. Its totient is φ = 41277600.

The previous prime is 146553371. The next prime is 146553383. The reversal of 146553372 is 273355641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146553371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13797 + ... + 21987.

It is an arithmetic number, because the mean of its divisors is an integer number (5963776).

Almost surely, 2^146553372 is an apocalyptic number.

146553372 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 146553372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214695936).

146553372 is an abundant number, since it is smaller than the sum of its proper divisors (282838500).

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

146553372 is a wasteful number, since it uses less digits than its factorization.

146553372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8274 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 146553372 is about 12105.9230131370. The cubic root of 146553372 is about 527.2281680826.

The spelling of 146553372 in words is "one hundred forty-six million, five hundred fifty-three thousand, three hundred seventy-two".