146631840 has 48 divisors (see below), whose sum is σ = 461891808. Its totient is φ = 39101696.

The previous prime is 146631839. The next prime is 146631841. The reversal of 146631840 is 48136641.

It is an interprime number because it is at equal distance from previous prime (146631839) and next prime (146631841).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (146631841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152262 + ... + 153221.

It is an arithmetic number, because the mean of its divisors is an integer number (9622746).

Almost surely, 2^146631840 is an apocalyptic number.

146631840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146631840 is an abundant number, since it is smaller than the sum of its proper divisors (315259968).

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

146631840 is a wasteful number, since it uses less digits than its factorization.

146631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305501 (or 305493 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146631840 is about 12109.1634723461. The cubic root of 146631840 is about 527.3222479343.

The spelling of 146631840 in words is "one hundred forty-six million, six hundred thirty-one thousand, eight hundred forty".