146661900 has 216 divisors, whose sum is σ = 539090496. Its totient is φ = 30441600.

The previous prime is 146661881. The next prime is 146661901. The reversal of 146661900 is 9166641.

146661900 = 1706² + 1707² + ... + 1754².

It is a super-2 number, since 2×146661900² = 43019425823220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (146661901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161247 + ... + 162153.

Almost surely, 2^146661900 is an apocalyptic number.

146661900 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 146661900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269545248).

146661900 is an abundant number, since it is smaller than the sum of its proper divisors (392428596).

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

146661900 is a wasteful number, since it uses less digits than its factorization.

146661900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 146661900 is about 12110.4046175179. The cubic root of 146661900 is about 527.3582797259.

The spelling of 146661900 in words is "one hundred forty-six million, six hundred sixty-one thousand, nine hundred".