146002272 has 48 divisors (see below), whose sum is σ = 412740720. Its totient is φ = 44923392.

The previous prime is 146002253. The next prime is 146002303. The reversal of 146002272 is 272200641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57247 + ... + 59742.

It is an arithmetic number, because the mean of its divisors is an integer number (8598765).

Almost surely, 2^146002272 is an apocalyptic number.

146002272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146002272 is an abundant number, since it is smaller than the sum of its proper divisors (266738448).

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

146002272 is a wasteful number, since it uses less digits than its factorization.

146002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117015 (or 117007 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 146002272 is about 12083.1399892578. The cubic root of 146002272 is about 526.5664742021.

The spelling of 146002272 in words is "one hundred forty-six million, two thousand, two hundred seventy-two".