146348640 has 192 divisors, whose sum is σ = 539481600. Its totient is φ = 36951552.

The previous prime is 146348627. The next prime is 146348641. The reversal of 146348640 is 46843641.

146348640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146348595 and 146348604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146348641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81189 + ... + 82971.

It is an arithmetic number, because the mean of its divisors is an integer number (2809800).

Almost surely, 2^146348640 is an apocalyptic number.

146348640 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 146348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269740800).

146348640 is an abundant number, since it is smaller than the sum of its proper divisors (393132960).

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

146348640 is a wasteful number, since it uses less digits than its factorization.

146348640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 146348640 is about 12097.4641970952. The cubic root of 146348640 is about 526.9825447568.

The spelling of 146348640 in words is "one hundred forty-six million, three hundred forty-eight thousand, six hundred forty".