151226449920 has 1536 divisors, whose sum is σ = 687016512000. Its totient is φ = 30519853056.

The previous prime is 151226449889. The next prime is 151226449921. The reversal of 151226449920 is 29944622151.

151226449920 is a `hidden beast` number, since 1 + 512 + 2 + 6 + 4 + 49 + 92 + 0 = 666.

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

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 (151226449921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6575063029 + ... + 6575063051.

It is an arithmetic number, because the mean of its divisors is an integer number (447276375).

Almost surely, 2^151226449920 is an apocalyptic number.

151226449920 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 151226449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343508256000).

151226449920 is an abundant number, since it is smaller than the sum of its proper divisors (535790062080).

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

151226449920 is an equidigital number, since it uses as much as digits as its factorization.

151226449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 151226449920 in words is "one hundred fifty-one billion, two hundred twenty-six million, four hundred forty-nine thousand, nine hundred twenty".