151023019680 has 288 divisors, whose sum is σ = 587658459024. Its totient is φ = 34988064768.

The previous prime is 151023019649. The next prime is 151023019687. The reversal of 151023019680 is 86910320151.

It can be written as a sum of positive squares in 8 ways, for example, as 73803502224 + 77219517456 = 271668^2 + 277884^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×151023019680³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151023019687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80962 + ... + 555518.

Almost surely, 2^151023019680 is an apocalyptic number.

151023019680 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 151023019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293829229512).

151023019680 is an abundant number, since it is smaller than the sum of its proper divisors (436635439344).

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

151023019680 is a wasteful number, since it uses less digits than its factorization.

151023019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474608 (or 474597 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 151023019680 in words is "one hundred fifty-one billion, twenty-three million, nineteen thousand, six hundred eighty".