146613620 has 48 divisors (see below), whose sum is σ = 313434576. Its totient is φ = 57600000.

The previous prime is 146613613. The next prime is 146613629. The reversal of 146613620 is 26316641.

It is a happy number.

146613620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7279204 + 139334416 = 2698^2 + 11804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146613629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365420 + ... + 365820.

It is an arithmetic number, because the mean of its divisors is an integer number (6529887).

Almost surely, 2^146613620 is an apocalyptic number.

146613620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146613620 is an abundant number, since it is smaller than the sum of its proper divisors (166820956).

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

146613620 is a wasteful number, since it uses less digits than its factorization.

146613620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 146613620 is about 12108.4111261552. The cubic root of 146613620 is about 527.3004059084.

It can be divided in two parts, 14661 and 3620, that added together give a palindrome (18281).

The spelling of 146613620 in words is "one hundred forty-six million, six hundred thirteen thousand, six hundred twenty".