146132640 has 96 divisors (see below), whose sum is σ = 511479360. Its totient is φ = 38967552.

The previous prime is 146132611. The next prime is 146132671. The reversal of 146132640 is 46231641.

146132640 is a `hidden beast` number, since 1 + 4 + 6 + 13 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12594 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (5327910).

Almost surely, 2^146132640 is an apocalyptic number.

146132640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146132640 is an abundant number, since it is smaller than the sum of its proper divisors (365346720).

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

146132640 is a wasteful number, since it uses less digits than its factorization.

146132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33851 (or 33837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146132640 is about 12088.5334098062. The cubic root of 146132640 is about 526.7231544034.

Subtracting from 146132640 its reverse (46231641), we obtain a palindrome (99900999).

The spelling of 146132640 in words is "one hundred forty-six million, one hundred thirty-two thousand, six hundred forty".