145181952 has 108 divisors (see below), whose sum is σ = 425869444. Its totient is φ = 47554560.

The previous prime is 145181947. The next prime is 145181963. The reversal of 145181952 is 259181541.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 72999936 = 8496^2 + 8544^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 11 ways as a sum of consecutive naturals, for example, 140028 + ... + 141060.

Almost surely, 2^145181952 is an apocalyptic number.

145181952 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 145181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212934722).

145181952 is an abundant number, since it is smaller than the sum of its proper divisors (280687492).

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

145181952 is a wasteful number, since it uses less digits than its factorization.

145181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1099 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 145181952 is about 12049.1473557260. The cubic root of 145181952 is about 525.5784427124.

The spelling of 145181952 in words is "one hundred forty-five million, one hundred eighty-one thousand, nine hundred fifty-two".