145613376 has 98 divisors (see below), whose sum is σ = 433367942. Its totient is φ = 48522240.

The previous prime is 145613371. The next prime is 145613387. The reversal of 145613376 is 673316541.

145613376 is a `hidden beast` number, since 1 + 4 + 5 + 613 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 70963776 = 8640^2 + 8424^2 .

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 145613376.

It is not an unprimeable number, because it can be changed into a prime (145613371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45096 + ... + 48216.

Almost surely, 2^145613376 is an apocalyptic number.

145613376 is a gapful number since it is divisible by the number (16) 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 145613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216683971).

145613376 is an abundant number, since it is smaller than the sum of its proper divisors (287754566).

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

145613376 is an frugal number, since it uses more digits than its factorization.

145613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3126 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 145613376 is about 12067.0367530724. The cubic root of 145613376 is about 526.0985324336.

The spelling of 145613376 in words is "one hundred forty-five million, six hundred thirteen thousand, three hundred seventy-six".