145742520 has 128 divisors (see below), whose sum is σ = 545149440. Its totient is φ = 30282240.

The previous prime is 145742507. The next prime is 145742549. The reversal of 145742520 is 25247541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1354 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (4258980).

Almost surely, 2^145742520 is an apocalyptic number.

145742520 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 145742520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272574720).

145742520 is an abundant number, since it is smaller than the sum of its proper divisors (399406920).

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

145742520 is a wasteful number, since it uses less digits than its factorization.

145742520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 145742520 is about 12072.3866737278. The cubic root of 145742520 is about 526.2540181329.

The spelling of 145742520 in words is "one hundred forty-five million, seven hundred forty-two thousand, five hundred twenty".