137264642000 has 120 divisors (see below), whose sum is σ = 336955699080. Its totient is φ = 54082828800.

The previous prime is 137264641967. The next prime is 137264642003. The reversal of 137264642000 is 246462731.

It can be written as a sum of positive squares in 4 ways, for example, as 3047923264 + 134216718736 = 55208^2 + 366356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137264642003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8970356 + ... + 8985644.

It is an arithmetic number, because the mean of its divisors is an integer number (2807964159).

Almost surely, 2^137264642000 is an apocalyptic number.

137264642000 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 137264642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168477849540).

137264642000 is an abundant number, since it is smaller than the sum of its proper divisors (199691057080).

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

137264642000 is an equidigital number, since it uses as much as digits as its factorization.

137264642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446 (or 15363 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 137264642000 in words is "one hundred thirty-seven billion, two hundred sixty-four million, six hundred forty-two thousand".