146501640 has 96 divisors (see below), whose sum is σ = 481965120. Its totient is φ = 38588544.

The previous prime is 146501639. The next prime is 146501657. The reversal of 146501640 is 46105641.

146501640 is a `hidden beast` number, since 1 + 4 + 650 + 1 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27429 + ... + 32331.

It is an arithmetic number, because the mean of its divisors is an integer number (5020470).

Almost surely, 2^146501640 is an apocalyptic number.

146501640 is a gapful number since it is divisible by the number (10) 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 146501640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240982560).

146501640 is an abundant number, since it is smaller than the sum of its proper divisors (335463480).

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

146501640 is a wasteful number, since it uses less digits than its factorization.

146501640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146501640 is about 12103.7861844962. The cubic root of 146501640 is about 527.1661252079.

It can be divided in two parts, 14650 and 1640, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 146501640 in words is "one hundred forty-six million, five hundred one thousand, six hundred forty".