151306740200 has 384 divisors, whose sum is σ = 464327424000. Its totient is φ = 44469734400.

The previous prime is 151306740149. The next prime is 151306740203. The reversal of 151306740200 is 2047603151.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (151306740203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19199861 + ... + 19207739.

It is an arithmetic number, because the mean of its divisors is an integer number (1209186000).

Almost surely, 2^151306740200 is an apocalyptic number.

151306740200 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 151306740200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232163712000).

151306740200 is an abundant number, since it is smaller than the sum of its proper divisors (313020683800).

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

151306740200 is a wasteful number, since it uses less digits than its factorization.

151306740200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 151306740200 in words is "one hundred fifty-one billion, three hundred six million, seven hundred forty thousand, two hundred".