150145261709872 has 160 divisors (see below), whose sum is σ = 348431087108160. Its totient is φ = 61770587074560.

The previous prime is 150145261709869. The next prime is 150145261709887. The reversal of 150145261709872 is 278907162541051.

It is a happy number.

It is a super-2 number, since 2×150145261709872² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193270954 + ... + 194046262.

It is an arithmetic number, because the mean of its divisors is an integer number (2177694294426).

Almost surely, 2^{150145261709872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150145261709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174215543554080).

150145261709872 is an abundant number, since it is smaller than the sum of its proper divisors (198285825398288).

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

150145261709872 is a wasteful number, since it uses less digits than its factorization.

150145261709872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776991 (or 776985 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 58.

The spelling of 150145261709872 in words is "one hundred fifty trillion, one hundred forty-five billion, two hundred sixty-one million, seven hundred nine thousand, eight hundred seventy-two".