146991376 has 45 divisors (see below), whose sum is σ = 332059941. Its totient is φ = 62850816.

The previous prime is 146991349. The next prime is 146991389. The reversal of 146991376 is 673199641.

It is a happy number.

The square root of 146991376 is 12124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16483600 + 130507776 = 4060^2 + 11424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339256 + ... + 339688.

Almost surely, 2^146991376 is an apocalyptic number.

146991376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146991376 is the 12124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146991376

146991376 is an abundant number, since it is smaller than the sum of its proper divisors (185068565).

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

146991376 is an frugal number, since it uses more digits than its factorization.

146991376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 442 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The cubic root of 146991376 is about 527.7528878858.

The spelling of 146991376 in words is "one hundred forty-six million, nine hundred ninety-one thousand, three hundred seventy-six".