145320624 has 240 divisors, whose sum is σ = 470059200. Its totient is φ = 41631744.

The previous prime is 145320619. The next prime is 145320629. The reversal of 145320624 is 426023541.

145320624 is a `hidden beast` number, since 1 + 4 + 5 + 32 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (145320619) and next prime (145320629).

It is a super-2 number, since 2×145320624² = 42236167519498752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145320629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632772 + ... + 1632860.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 2^145320624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145320624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235029600).

145320624 is an abundant number, since it is smaller than the sum of its proper divisors (324738576).

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

145320624 is a wasteful number, since it uses less digits than its factorization.

145320624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145320624 is about 12054.9004143543. The cubic root of 145320624 is about 525.7457266393.

The spelling of 145320624 in words is "one hundred forty-five million, three hundred twenty thousand, six hundred twenty-four".