146389264 has 60 divisors (see below), whose sum is σ = 335454348. Its totient is φ = 61689600.

The previous prime is 146389259. The next prime is 146389267. The reversal of 146389264 is 462983641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 75829264 = 8400^2 + 8708^2 .

It is a super-2 number, since 2×146389264² = 42859633228923392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146389264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146389267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46294 + ... + 49354.

Almost surely, 2^146389264 is an apocalyptic number.

146389264 is a gapful number since it is divisible by the number (14) 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 146389264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167727174).

146389264 is an abundant number, since it is smaller than the sum of its proper divisors (189065084).

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

146389264 is a wasteful number, since it uses less digits than its factorization.

146389264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 146389264 is about 12099.1431101545. The cubic root of 146389264 is about 527.0313008376.

The spelling of 146389264 in words is "one hundred forty-six million, three hundred eighty-nine thousand, two hundred sixty-four".