146214972 has 72 divisors (see below), whose sum is σ = 391943552. Its totient is φ = 45878400.

The previous prime is 146214953. The next prime is 146214997. The reversal of 146214972 is 279412641.

It is a happy number.

146214972 is a `hidden beast` number, since 146 + 21 + 497 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39522 + ... + 43062.

Almost surely, 2^146214972 is an apocalyptic number.

146214972 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 146214972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195971776).

146214972 is an abundant number, since it is smaller than the sum of its proper divisors (245728580).

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

146214972 is a wasteful number, since it uses less digits than its factorization.

146214972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3614 counting only the distinct ones).

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

The square root of 146214972 is about 12091.9383061608. The cubic root of 146214972 is about 526.8220554863.

The spelling of 146214972 in words is "one hundred forty-six million, two hundred fourteen thousand, nine hundred seventy-two".