151126542336 has 1536 divisors, whose sum is σ = 597793996800. Its totient is φ = 32699842560.

The previous prime is 151126542283. The next prime is 151126542377. The reversal of 151126542336 is 633245621151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 151126542294 and 151126542303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3514570731 + ... + 3514570773.

It is an arithmetic number, because the mean of its divisors is an integer number (389188800).

Almost surely, 2^151126542336 is an apocalyptic number.

151126542336 is a gapful number since it is divisible by the number (16) 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 151126542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298896998400).

151126542336 is an abundant number, since it is smaller than the sum of its proper divisors (446667454464).

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

151126542336 is a wasteful number, since it uses less digits than its factorization.

151126542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The spelling of 151126542336 in words is "one hundred fifty-one billion, one hundred twenty-six million, five hundred forty-two thousand, three hundred thirty-six".