151195616000 has 1152 divisors, whose sum is σ = 488550666240. Its totient is φ = 45785088000.

The previous prime is 151195615993. The next prime is 151195616009. The reversal of 151195616000 is 616591151.

It is a super-2 number, since 2×151195616000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151195616009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3216927977 + ... + 3216928023.

It is an arithmetic number, because the mean of its divisors is an integer number (424089120).

Almost surely, 2^151195616000 is an apocalyptic number.

151195616000 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 151195616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244275333120).

151195616000 is an abundant number, since it is smaller than the sum of its proper divisors (337355050240).

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

151195616000 is a wasteful number, since it uses less digits than its factorization.

151195616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 35.

The spelling of 151195616000 in words is "one hundred fifty-one billion, one hundred ninety-five million, six hundred sixteen thousand".