145146624 has 288 divisors, whose sum is σ = 490560000. Its totient is φ = 37933056.

The previous prime is 145146613. The next prime is 145146637. The reversal of 145146624 is 426641541.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (23040) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5005042 + ... + 5005070.

Almost surely, 2^145146624 is an apocalyptic number.

145146624 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 145146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245280000).

145146624 is an abundant number, since it is smaller than the sum of its proper divisors (345413376).

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

145146624 is an equidigital number, since it uses as much as digits as its factorization.

145146624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 145146624 is about 12047.6812706844. The cubic root of 145146624 is about 525.5358085299.

The spelling of 145146624 in words is "one hundred forty-five million, one hundred forty-six thousand, six hundred twenty-four".