145375776 has 288 divisors, whose sum is σ = 534280320. Its totient is φ = 37449216.

The previous prime is 145375751. The next prime is 145375787. The reversal of 145375776 is 677573541.

145375776 is a `hidden beast` number, since 1 + 45 + 37 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145375776² = 42268232495204352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3380811 + ... + 3380853.

It is an arithmetic number, because the mean of its divisors is an integer number (1855140).

Almost surely, 2^145375776 is an apocalyptic number.

145375776 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 145375776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267140160).

145375776 is an abundant number, since it is smaller than the sum of its proper divisors (388904544).

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

145375776 is a wasteful number, since it uses less digits than its factorization.

145375776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 145375776 is about 12057.1877318055. The cubic root of 145375776 is about 525.8122284661.

The spelling of 145375776 in words is "one hundred forty-five million, three hundred seventy-five thousand, seven hundred seventy-six".