151506783525000 has 192 divisors, whose sum is σ = 473739606849600. Its totient is φ = 40375250720000.

The previous prime is 151506783524879. The next prime is 151506783525001. The reversal of 151506783525000 is 525387605151.

It is a super-2 number, since 2×151506783525000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151506783525001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113561806 + ... + 114888194.

It is an arithmetic number, because the mean of its divisors is an integer number (2467393785675).

Almost surely, 2^{151506783525000} is an apocalyptic number.

151506783525000 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 151506783525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236869803424800).

151506783525000 is an abundant number, since it is smaller than the sum of its proper divisors (322232823324600).

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

151506783525000 is a wasteful number, since it uses less digits than its factorization.

151506783525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327946 (or 1327922 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 151506783525000 in words is "one hundred fifty-one trillion, five hundred six billion, seven hundred eighty-three million, five hundred twenty-five thousand".