151283310080 has 320 divisors, whose sum is σ = 440182397952. Its totient is φ = 48678174720.

The previous prime is 151283310053. The next prime is 151283310119. The reversal of 151283310080 is 80013382151.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×151283310080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 192227447 + ... + 192228233.

Almost surely, 2^151283310080 is an apocalyptic number.

151283310080 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 151283310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220091198976).

151283310080 is an abundant number, since it is smaller than the sum of its proper divisors (288899087872).

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

151283310080 is an equidigital number, since it uses as much as digits as its factorization.

151283310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 151283310080 in words is "one hundred fifty-one billion, two hundred eighty-three million, three hundred ten thousand, eighty".