131352000 has 224 divisors, whose sum is σ = 468197184. Its totient is φ = 32256000.

The previous prime is 131351977. The next prime is 131352017. The reversal of 131352000 is 253131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 311790 + ... + 312210.

It is an arithmetic number, because the mean of its divisors is an integer number (2090166).

Almost surely, 2^131352000 is an apocalyptic number.

131352000 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 131352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234098592).

131352000 is an abundant number, since it is smaller than the sum of its proper divisors (336845184).

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

131352000 is a wasteful number, since it uses less digits than its factorization.

131352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 131352000 is about 11460.8900177953. The cubic root of 131352000 is about 508.3297918473.

It can be divided in two parts, 13 and 1352000, that multiplied together give a cube (17576000 = 260³).

The spelling of 131352000 in words is "one hundred thirty-one million, three hundred fifty-two thousand".