145276416 has 200 divisors, whose sum is σ = 451560384. Its totient is φ = 46448640.

The previous prime is 145276387. The next prime is 145276459. The reversal of 145276416 is 614672541.

145276416 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 641 + 6 = 666.

It is a super-2 number, since 2×145276416² = 42210474091610112, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1285576 + ... + 1285688.

Almost surely, 2^145276416 is an apocalyptic number.

145276416 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 145276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225780192).

145276416 is an abundant number, since it is smaller than the sum of its proper divisors (306283968).

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

145276416 is an equidigital number, since it uses as much as digits as its factorization.

145276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 145276416 is about 12053.0666637167. The cubic root of 145276416 is about 525.6924088475.

The spelling of 145276416 in words is "one hundred forty-five million, two hundred seventy-six thousand, four hundred sixteen".