180146772 has 72 divisors (see below), whose sum is σ = 497211624. Its totient is φ = 54660096.

The previous prime is 180146761. The next prime is 180146783. The reversal of 180146772 is 277641081.

180146772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180146761) and next prime (180146783).

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 170929476 = 3036^2 + 13074^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31528 + ... + 36800.

It is an arithmetic number, because the mean of its divisors is an integer number (6905717).

Almost surely, 2^180146772 is an apocalyptic number.

180146772 is a gapful number since it is divisible by the number (12) 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 180146772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248605812).

180146772 is an abundant number, since it is smaller than the sum of its proper divisors (317064852).

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

180146772 is a wasteful number, since it uses less digits than its factorization.

180146772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180146772 is about 13421.8766199068. The cubic root of 180146772 is about 564.7750397915.

The spelling of 180146772 in words is "one hundred eighty million, one hundred forty-six thousand, seven hundred seventy-two".