145962180 has 432 divisors, whose sum is σ = 592562880. Its totient is φ = 28740096.

The previous prime is 145962169. The next prime is 145962181. The reversal of 145962180 is 81269541.

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

It is not an unprimeable number, because it can be changed into a prime (145962181) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2178507 + ... + 2178573.

Almost surely, 2^145962180 is an apocalyptic number.

145962180 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 145962180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

145962180 is an abundant number, since it is smaller than the sum of its proper divisors (446600700).

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

145962180 is a wasteful number, since it uses less digits than its factorization.

145962180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145962180 is about 12081.4808694961. The cubic root of 145962180 is about 526.5182716743.

The spelling of 145962180 in words is "one hundred forty-five million, nine hundred sixty-two thousand, one hundred eighty".