146909700 has 180 divisors, whose sum is σ = 544465152. Its totient is φ = 33566400.

The previous prime is 146909689. The next prime is 146909747. The reversal of 146909700 is 7909641.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55405 + ... + 57995.

Almost surely, 2^146909700 is an apocalyptic number.

146909700 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 146909700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

146909700 is an abundant number, since it is smaller than the sum of its proper divisors (397555452).

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

146909700 is a wasteful number, since it uses less digits than its factorization.

146909700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 146909700 is about 12120.6311716841. The cubic root of 146909700 is about 527.6551208552.

The spelling of 146909700 in words is "one hundred forty-six million, nine hundred nine thousand, seven hundred".