13742703000 has 640 divisors, whose sum is σ = 53529315840. Its totient is φ = 3265920000.

The previous prime is 13742702989. The next prime is 13742703001. The reversal of 13742703000 is 30724731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742703001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32642790 + ... + 32643210.

It is an arithmetic number, because the mean of its divisors is an integer number (83639556).

Almost surely, 2^13742703000 is an apocalyptic number.

13742703000 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 13742703000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26764657920).

13742703000 is an abundant number, since it is smaller than the sum of its proper divisors (39786612840).

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

13742703000 is a wasteful number, since it uses less digits than its factorization.

13742703000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 13742703000 in words is "thirteen billion, seven hundred forty-two million, seven hundred three thousand".