131406207787008 has 2520 divisors, whose sum is σ = 507830984027136. Its totient is φ = 33733975080960.

The previous prime is 131406207786977. The next prime is 131406207787021. The reversal of 131406207787008 is 800787702604131.

131406207787008 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 620 + 7 + 7 + 8 + 7 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 499643375485 + ... + 499643375747.

Almost surely, 2^{131406207787008} is an apocalyptic number.

131406207787008 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 131406207787008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253915492013568).

131406207787008 is an abundant number, since it is smaller than the sum of its proper divisors (376424776240128).

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

131406207787008 is a wasteful number, since it uses less digits than its factorization.

131406207787008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 131406207787008 in words is "one hundred thirty-one trillion, four hundred six billion, two hundred seven million, seven hundred eighty-seven thousand, eight".