145770900 has 144 divisors (see below), whose sum is σ = 464636928. Its totient is φ = 34992000.

The previous prime is 145770851. The next prime is 145770917. The reversal of 145770900 is 9077541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537765 + ... + 538035.

Almost surely, 2^145770900 is an apocalyptic number.

145770900 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 145770900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232318464).

145770900 is an abundant number, since it is smaller than the sum of its proper divisors (318866028).

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

145770900 is a wasteful number, since it uses less digits than its factorization.

145770900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 145770900 is about 12073.5620261793. The cubic root of 145770900 is about 526.2881745336.

The spelling of 145770900 in words is "one hundred forty-five million, seven hundred seventy thousand, nine hundred".