131551673400 has 768 divisors, whose sum is σ = 548964864000. Its totient is φ = 28314316800.

The previous prime is 131551673399. The next prime is 131551673437. The reversal of 131551673400 is 4376155131.

131551673400 is a `hidden beast` number, since 1 + 3 + 1 + 551 + 67 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44942737 + ... + 44945663.

It is an arithmetic number, because the mean of its divisors is an integer number (714798000).

Almost surely, 2^131551673400 is an apocalyptic number.

131551673400 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 131551673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274482432000).

131551673400 is an abundant number, since it is smaller than the sum of its proper divisors (417413190600).

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

131551673400 is a wasteful number, since it uses less digits than its factorization.

131551673400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 131551673400 in words is "one hundred thirty-one billion, five hundred fifty-one million, six hundred seventy-three thousand, four hundred".