146457216 has 48 divisors (see below), whose sum is σ = 421449210. Its totient is φ = 48818688.

The previous prime is 146457209. The next prime is 146457251. The reversal of 146457216 is 612754641.

146457216 is a `hidden beast` number, since 1 + 4 + 645 + 7 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 40449600 = 10296^2 + 6360^2 .

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

It is a super-2 number, since 2×146457216² = 42899432236941312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62415 + ... + 64718.

Almost surely, 2^146457216 is an apocalyptic number.

146457216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146457216 is an abundant number, since it is smaller than the sum of its proper divisors (274991994).

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

146457216 is a wasteful number, since it uses less digits than its factorization.

146457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127153 (or 127138 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 146457216 is about 12101.9509171042. The cubic root of 146457216 is about 527.1128352574.

The spelling of 146457216 in words is "one hundred forty-six million, four hundred fifty-seven thousand, two hundred sixteen".