151107133440 has 448 divisors, whose sum is σ = 502357826880. Its totient is φ = 38755368960.

The previous prime is 151107133439. The next prime is 151107133447. The reversal of 151107133440 is 44331701151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151107133398 and 151107133407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151107133447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448388952 + ... + 448389288.

It is an arithmetic number, because the mean of its divisors is an integer number (1121334435).

Almost surely, 2^151107133440 is an apocalyptic number.

151107133440 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 151107133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251178913440).

151107133440 is an abundant number, since it is smaller than the sum of its proper divisors (351250693440).

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

151107133440 is an equidigital number, since it uses as much as digits as its factorization.

151107133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 151107133440 its reverse (44331701151), we get a palindrome (195438834591).

The spelling of 151107133440 in words is "one hundred fifty-one billion, one hundred seven million, one hundred thirty-three thousand, four hundred forty".