139977864 has 192 divisors, whose sum is σ = 456019200. Its totient is φ = 38320128.

The previous prime is 139977863. The next prime is 139977889. The reversal of 139977864 is 468779931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 139977864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139977863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302097 + ... + 302559.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 2^139977864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139977864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228009600).

139977864 is an abundant number, since it is smaller than the sum of its proper divisors (316041336).

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

139977864 is a wasteful number, since it uses less digits than its factorization.

139977864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 139977864 is about 11831.2241124915. The cubic root of 139977864 is about 519.2220418261. Note that the first 3 decimals are identical.

It can be divided in two parts, 139977 and 864, that multiplied together give a triangular number (120940128 = T₁₅₅₅₂).

The spelling of 139977864 in words is "one hundred thirty-nine million, nine hundred seventy-seven thousand, eight hundred sixty-four".