141027264 has 224 divisors, whose sum is σ = 482803200. Its totient is φ = 39536640.

The previous prime is 141027259. The next prime is 141027269. The reversal of 141027264 is 462720141.

141027264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141027259) and next prime (141027269).

It is a tau number, because it is divible by the number of its divisors (224).

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 (141027269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076479 + ... + 1076609.

Almost surely, 2^141027264 is an apocalyptic number.

141027264 is a gapful number since it is divisible by the number (14) 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 141027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

141027264 is an abundant number, since it is smaller than the sum of its proper divisors (341775936).

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

141027264 is a wasteful number, since it uses less digits than its factorization.

141027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 141027264 is about 11875.4900530462. The cubic root of 141027264 is about 520.5163313232.

The spelling of 141027264 in words is "one hundred forty-one million, twenty-seven thousand, two hundred sixty-four".