145412820 has 120 divisors (see below), whose sum is σ = 521372544. Its totient is φ = 33234624.

The previous prime is 145412809. The next prime is 145412821. The reversal of 145412820 is 28214541.

It is a super-3 number, since 3×145412820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412821) 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 39 ways as a sum of consecutive naturals, for example, 4929 + ... + 17751.

Almost surely, 2^145412820 is an apocalyptic number.

145412820 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 145412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260686272).

145412820 is an abundant number, since it is smaller than the sum of its proper divisors (375959724).

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

145412820 is a wasteful number, since it uses less digits than its factorization.

145412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145412820 is about 12058.7238130741. The cubic root of 145412820 is about 525.8568863738.

The spelling of 145412820 in words is "one hundred forty-five million, four hundred twelve thousand, eight hundred twenty".