145225080 has 576 divisors, whose sum is σ = 657745920. Its totient is φ = 26956800.

The previous prime is 145225063. The next prime is 145225081. The reversal of 145225080 is 80522541.

It is a happy number.

145225080 is a `hidden beast` number, since 14 + 522 + 50 + 80 = 666.

It is a super-2 number, since 2×145225080² = 42180647722012800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145225081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4684665 + ... + 4684695.

It is an arithmetic number, because the mean of its divisors is an integer number (1141920).

Almost surely, 2^145225080 is an apocalyptic number.

145225080 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 145225080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328872960).

145225080 is an abundant number, since it is smaller than the sum of its proper divisors (512520840).

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

145225080 is a wasteful number, since it uses less digits than its factorization.

145225080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145225080 is about 12050.9368930386. The cubic root of 145225080 is about 525.6304806382.

The spelling of 145225080 in words is "one hundred forty-five million, two hundred twenty-five thousand, eighty".