131639040 has 288 divisors, whose sum is σ = 504786240. Its totient is φ = 32292864.

The previous prime is 131639029. The next prime is 131639059. The reversal of 131639040 is 40936131.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131638995 and 131639013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449134 + ... + 449426.

It is an arithmetic number, because the mean of its divisors is an integer number (1752730).

Almost surely, 2^131639040 is an apocalyptic number.

131639040 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 131639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252393120).

131639040 is an abundant number, since it is smaller than the sum of its proper divisors (373147200).

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

131639040 is a wasteful number, since it uses less digits than its factorization.

131639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131639040 is about 11473.4057716094. The cubic root of 131639040 is about 508.6998022701.

The spelling of 131639040 in words is "one hundred thirty-one million, six hundred thirty-nine thousand, forty".