150771121697280 has 640 divisors, whose sum is σ = 568938195910656. Its totient is φ = 33331779993600.

The previous prime is 150771121697233. The next prime is 150771121697327. The reversal of 150771121697280 is 82796121177051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150771121697233) and next prime (150771121697327).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×150771121697280² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150771121697280.

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, 3118109584 + ... + 3118157936.

Almost surely, 2^{150771121697280} is an apocalyptic number.

150771121697280 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 150771121697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284469097955328).

150771121697280 is an abundant number, since it is smaller than the sum of its proper divisors (418167074213376).

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

150771121697280 is a wasteful number, since it uses less digits than its factorization.

150771121697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50288 (or 50272 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 57.

The spelling of 150771121697280 in words is "one hundred fifty trillion, seven hundred seventy-one billion, one hundred twenty-one million, six hundred ninety-seven thousand, two hundred eighty".