145650624 has 112 divisors (see below), whose sum is σ = 443106048. Its totient is φ = 41361408.

The previous prime is 145650623. The next prime is 145650653. The reversal of 145650624 is 426056541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) 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 (145650623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412432 + ... + 412784.

It is an arithmetic number, because the mean of its divisors is an integer number (3956304).

Almost surely, 2^145650624 is an apocalyptic number.

145650624 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 145650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221553024).

145650624 is an abundant number, since it is smaller than the sum of its proper divisors (297455424).

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

145650624 is a wasteful number, since it uses less digits than its factorization.

145650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 145650624 is about 12068.5800324645. The cubic root of 145650624 is about 526.1433873959.

The spelling of 145650624 in words is "one hundred forty-five million, six hundred fifty thousand, six hundred twenty-four".