145167776 has 48 divisors (see below), whose sum is σ = 309955968. Its totient is φ = 66528000.

The previous prime is 145167773. The next prime is 145167787. The reversal of 145167776 is 677761541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145167773) 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 7 ways as a sum of consecutive naturals, for example, 61661 + ... + 63971.

It is an arithmetic number, because the mean of its divisors is an integer number (6457416).

Almost surely, 2^145167776 is an apocalyptic number.

145167776 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 145167776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154977984).

145167776 is an abundant number, since it is smaller than the sum of its proper divisors (164788192).

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

145167776 is a wasteful number, since it uses less digits than its factorization.

145167776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2477 counting only the distinct ones).

The product of its digits is 246960, while the sum is 44.

The square root of 145167776 is about 12048.5590839735. The cubic root of 145167776 is about 525.5613358052.

The spelling of 145167776 in words is "one hundred forty-five million, one hundred sixty-seven thousand, seven hundred seventy-six".