133986237000 has 1536 divisors, whose sum is σ = 567904296960. Its totient is φ = 25966080000.

The previous prime is 133986236999. The next prime is 133986237017. The reversal of 133986237000 is 732689331.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2850770977 + ... + 2850771023.

It is an arithmetic number, because the mean of its divisors is an integer number (369729360).

Almost surely, 2^133986237000 is an apocalyptic number.

133986237000 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 133986237000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283952148480).

133986237000 is an abundant number, since it is smaller than the sum of its proper divisors (433918059960).

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

133986237000 is a wasteful number, since it uses less digits than its factorization.

133986237000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 133986237000 in words is "one hundred thirty-three billion, nine hundred eighty-six million, two hundred thirty-seven thousand".