145319790 has 288 divisors, whose sum is σ = 480332160. Its totient is φ = 27941760.

The previous prime is 145319767. The next prime is 145319807. The reversal of 145319790 is 97913541.

It is a happy number.

It is a super-2 number, since 2×145319790² = 42235682731288200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3379509 + ... + 3379551.

It is an arithmetic number, because the mean of its divisors is an integer number (1667820).

Almost surely, 2^145319790 is an apocalyptic number.

145319790 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 145319790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240166080).

145319790 is an abundant number, since it is smaller than the sum of its proper divisors (335012370).

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

145319790 is a wasteful number, since it uses less digits than its factorization.

145319790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 145319790 is about 12054.8658225631. The cubic root of 145319790 is about 525.7447208798.

The spelling of 145319790 in words is "one hundred forty-five million, three hundred nineteen thousand, seven hundred ninety".