136513014000 has 320 divisors, whose sum is σ = 484906106880. Its totient is φ = 32764800000.

The previous prime is 136513013993. The next prime is 136513014013. The reversal of 136513014000 is 410315631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6655761 + ... + 6676239.

It is an arithmetic number, because the mean of its divisors is an integer number (1515331584).

Almost surely, 2^136513014000 is an apocalyptic number.

136513014000 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 136513014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242453053440).

136513014000 is an abundant number, since it is smaller than the sum of its proper divisors (348393092880).

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

136513014000 is a wasteful number, since it uses less digits than its factorization.

136513014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617 (or 20601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 136513014000 its reverse (410315631), we get a palindrome (136923329631).

The spelling of 136513014000 in words is "one hundred thirty-six billion, five hundred thirteen million, fourteen thousand".