151006006500 has 192 divisors, whose sum is σ = 455332061184. Its totient is φ = 38847600000.

The previous prime is 151006006493. The next prime is 151006006603. The reversal of 151006006500 is 5600600151.

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, 15386595 + ... + 15396405.

It is an arithmetic number, because the mean of its divisors is an integer number (2371521152).

Almost surely, 2^151006006500 is an apocalyptic number.

151006006500 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 151006006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227666030592).

151006006500 is an abundant number, since it is smaller than the sum of its proper divisors (304326054684).

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

151006006500 is a wasteful number, since it uses less digits than its factorization.

151006006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10195 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 151006006500 its reverse (5600600151), we get a palindrome (156606606651).

The spelling of 151006006500 in words is "one hundred fifty-one billion, six million, six thousand, five hundred".