145714140 has 480 divisors, whose sum is σ = 583982784. Its totient is φ = 29859840.

The previous prime is 145714133. The next prime is 145714141. The reversal of 145714140 is 41417541.

145714140 is a `hidden beast` number, since 14 + 571 + 41 + 40 = 666.

It is a super-2 number, since 2×145714140² = 42465221191879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145714141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3938202 + ... + 3938238.

Almost surely, 2^145714140 is an apocalyptic number.

145714140 is a gapful number since it is divisible by the number (10) 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 145714140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291991392).

145714140 is an abundant number, since it is smaller than the sum of its proper divisors (438268644).

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

145714140 is a wasteful number, since it uses less digits than its factorization.

145714140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145714140 is about 12071.2112068342. The cubic root of 145714140 is about 526.2198572979.

The spelling of 145714140 in words is "one hundred forty-five million, seven hundred fourteen thousand, one hundred forty".