146506900 has 36 divisors (see below), whose sum is σ = 320860540. Its totient is φ = 58060800.

The previous prime is 146506883. The next prime is 146506949. The reversal of 146506900 is 9605641.

It can be written as a sum of positive squares in 6 ways, for example, as 8491396 + 138015504 = 2914^2 + 11748^2 .

It is a super-2 number, since 2×146506900² = 42928543495220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4180 + ... + 17620.

Almost surely, 2^146506900 is an apocalyptic number.

146506900 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 146506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160430270).

146506900 is an abundant number, since it is smaller than the sum of its proper divisors (174353640).

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

146506900 is a wasteful number, since it uses less digits than its factorization.

146506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13564 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 146506900 is about 12104.0034699268. The cubic root of 146506900 is about 527.1724342628.

The spelling of 146506900 in words is "one hundred forty-six million, five hundred six thousand, nine hundred".