151226601984 has 120 divisors (see below), whose sum is σ = 438975360252. Its totient is φ = 50117222400.

The previous prime is 151226601959. The next prime is 151226601991. The reversal of 151226601984 is 489106622151.

151226601984 is a `hidden beast` number, since 1 + 5 + 12 + 26 + 601 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143247110400 + 7979491584 = 378480^2 + 89328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702334 + ... + 892034.

Almost surely, 2^151226601984 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 151226601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219487680126).

151226601984 is an abundant number, since it is smaller than the sum of its proper divisors (287748758268).

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

151226601984 is a wasteful number, since it uses less digits than its factorization.

151226601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189898 (or 189879 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 151226601984 in words is "one hundred fifty-one billion, two hundred twenty-six million, six hundred one thousand, nine hundred eighty-four".