145790064 has 160 divisors (see below), whose sum is σ = 491555840. Its totient is φ = 40497408.

The previous prime is 145790039. The next prime is 145790083. The reversal of 145790064 is 460097541.

It is a super-2 number, since 2×145790064² = 42509485522248192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111237 + ... + 112539.

It is an arithmetic number, because the mean of its divisors is an integer number (3072224).

Almost surely, 2^145790064 is an apocalyptic number.

145790064 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 145790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245777920).

145790064 is an abundant number, since it is smaller than the sum of its proper divisors (345765776).

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

145790064 is a wasteful number, since it uses less digits than its factorization.

145790064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145790064 is about 12074.3556349811. The cubic root of 145790064 is about 526.3112366231.

The spelling of 145790064 in words is "one hundred forty-five million, seven hundred ninety thousand, sixty-four".