145274688 has 224 divisors, whose sum is σ = 477926400. Its totient is φ = 42964992.

The previous prime is 145274671. The next prime is 145274713. The reversal of 145274688 is 886472541.

145274688 is a `hidden beast` number, since 1 + 4 + 527 + 46 + 88 = 666.

It is a super-2 number, since 2×145274688² = 42209469946994688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 651345 + ... + 651567.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^145274688 is an apocalyptic number.

145274688 is a gapful number since it is divisible by the number (18) 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 145274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200).

145274688 is an abundant number, since it is smaller than the sum of its proper divisors (332651712).

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

145274688 is a wasteful number, since it uses less digits than its factorization.

145274688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 145274688 is about 12052.9949805017. The cubic root of 145274688 is about 525.6903245448.

The spelling of 145274688 in words is "one hundred forty-five million, two hundred seventy-four thousand, six hundred eighty-eight".