145321956 has 144 divisors (see below), whose sum is σ = 425006400. Its totient is φ = 41492736.

The previous prime is 145321951. The next prime is 145321973. The reversal of 145321956 is 659123541.

It is a super-2 number, since 2×145321956² = 42236941791331872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145321956.

It is not an unprimeable number, because it can be changed into a prime (145321951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524490 + ... + 524766.

Almost surely, 2^145321956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145321956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212503200).

145321956 is an abundant number, since it is smaller than the sum of its proper divisors (279684444).

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

145321956 is a wasteful number, since it uses less digits than its factorization.

145321956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 145321956 is about 12054.9556614697. The cubic root of 145321956 is about 525.7473329521.

It can be divided in two parts, 1453 and 21956, that added together give a square (23409 = 153²).

The spelling of 145321956 in words is "one hundred forty-five million, three hundred twenty-one thousand, nine hundred fifty-six".