145712820 has 192 divisors, whose sum is σ = 481904640. Its totient is φ = 32524800.

The previous prime is 145712773. The next prime is 145712837. The reversal of 145712820 is 28217541.

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 63 ways as a sum of consecutive naturals, for example, 440055 + ... + 440385.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^145712820 is an apocalyptic number.

145712820 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 145712820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240952320).

145712820 is an abundant number, since it is smaller than the sum of its proper divisors (336191820).

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

145712820 is a wasteful number, since it uses less digits than its factorization.

145712820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 145712820 is about 12071.1565311697. The cubic root of 145712820 is about 526.2182683139.

It can be divided in two parts, 14571 and 2820, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 145712820 in words is "one hundred forty-five million, seven hundred twelve thousand, eight hundred twenty".