151003742464 has 81 divisors (see below), whose sum is σ = 305327243613. Its totient is φ = 74535054336.

The previous prime is 151003742453. The next prime is 151003742497. The reversal of 151003742464 is 464247300151.

The square root of 151003742464 is 388592.

It is a perfect power (a square), and thus also a powerful number.

151003742464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17691128064 + 133312614400 = 133008^2 + 365120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 926403247 + ... + 926403409.

Almost surely, 2^151003742464 is an apocalyptic number.

151003742464 is the 388592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151003742464

151003742464 is an abundant number, since it is smaller than the sum of its proper divisors (154323501149).

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

151003742464 is an frugal number, since it uses more digits than its factorization.

151003742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 151003742464 in words is "one hundred fifty-one billion, three million, seven hundred forty-two thousand, four hundred sixty-four".