151095767040 has 624 divisors, whose sum is σ = 550484739168. Its totient is φ = 39749419008.

The previous prime is 151095766961. The next prime is 151095767041. The reversal of 151095767040 is 40767590151.

151095767040 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 9 + 576 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151095767041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482733924 + ... + 482734236.

It is an arithmetic number, because the mean of its divisors is an integer number (882187082).

Almost surely, 2^151095767040 is an apocalyptic number.

151095767040 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 151095767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275242369584).

151095767040 is an abundant number, since it is smaller than the sum of its proper divisors (399388972128).

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

151095767040 is an frugal number, since it uses more digits than its factorization.

151095767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 151095767040 in words is "one hundred fifty-one billion, ninety-five million, seven hundred sixty-seven thousand, forty".