151225634560 has 648 divisors, whose sum is σ = 498143002896. Its totient is φ = 43475927040.

The previous prime is 151225634533. The next prime is 151225634569. The reversal of 151225634560 is 65436522151.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151225634569) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 116595832 + ... + 116597128.

It is an arithmetic number, because the mean of its divisors is an integer number (768739202).

Almost surely, 2^151225634560 is an apocalyptic number.

151225634560 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 151225634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249071501448).

151225634560 is an abundant number, since it is smaller than the sum of its proper divisors (346917368336).

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

151225634560 is a wasteful number, since it uses less digits than its factorization.

151225634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 151225634560 in words is "one hundred fifty-one billion, two hundred twenty-five million, six hundred thirty-four thousand, five hundred sixty".