146791872 has 224 divisors, whose sum is σ = 482803200. Its totient is φ = 43462656.

The previous prime is 146791867. The next prime is 146791903. The reversal of 146791872 is 278197641.

It is a happy number.

146791872 is a `hidden beast` number, since 1 + 467 + 9 + 187 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558013 + ... + 558275.

Almost surely, 2^146791872 is an apocalyptic number.

146791872 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 146791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

146791872 is an abundant number, since it is smaller than the sum of its proper divisors (336011328).

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

146791872 is a wasteful number, since it uses less digits than its factorization.

146791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 146791872 is about 12115.7695587197. The cubic root of 146791872 is about 527.5140156350.

It can be divided in two parts, 1467 and 91872, that added together give a palindrome (93339).

The spelling of 146791872 in words is "one hundred forty-six million, seven hundred ninety-one thousand, eight hundred seventy-two".