151133802882048 has 792 divisors, whose sum is σ = 530185417462272. Its totient is φ = 40611548233728.

The previous prime is 151133802882037. The next prime is 151133802882053. The reversal of 151133802882048 is 840288208331151.

It is a happy number.

151133802882048 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 338 + 0 + 288 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151133802881985 and 151133802882003.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41147235540 + ... + 41147239212.

Almost surely, 2^{151133802882048} is an apocalyptic number.

151133802882048 is a gapful number since it is divisible by the number (18) 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 151133802882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265092708731136).

151133802882048 is an abundant number, since it is smaller than the sum of its proper divisors (379051614580224).

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

151133802882048 is a wasteful number, since it uses less digits than its factorization.

151133802882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 151133802882048 in words is "one hundred fifty-one trillion, one hundred thirty-three billion, eight hundred two million, eight hundred eighty-two thousand, forty-eight".