145399590 has 128 divisors (see below), whose sum is σ = 466560000. Its totient is φ = 31477248.

The previous prime is 145399547. The next prime is 145399601. The reversal of 145399590 is 95993541.

It is a happy number.

145399590 is a `hidden beast` number, since 1 + 4 + 53 + 9 + 9 + 590 = 666.

145399590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145399590² = 42282081544336200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33886 + ... + 37934.

It is an arithmetic number, because the mean of its divisors is an integer number (3645000).

Almost surely, 2^145399590 is an apocalyptic number.

145399590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145399590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280000).

145399590 is an abundant number, since it is smaller than the sum of its proper divisors (321160410).

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

145399590 is a wasteful number, since it uses less digits than its factorization.

145399590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 145399590 is about 12058.1752350843. The cubic root of 145399590 is about 525.8409379918.

The spelling of 145399590 in words is "one hundred forty-five million, three hundred ninety-nine thousand, five hundred ninety".