151135670944 has 96 divisors (see below), whose sum is σ = 321218472960. Its totient is φ = 69793996800.

The previous prime is 151135670927. The next prime is 151135670947. The reversal of 151135670944 is 449076531151.

It is a super-2 number, since 2×151135670944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 151135670894 and 151135670903.

It is not an unprimeable number, because it can be changed into a prime (151135670947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10510992 + ... + 10525360.

It is an arithmetic number, because the mean of its divisors is an integer number (3346025760).

Almost surely, 2^151135670944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151135670944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160609236480).

151135670944 is an abundant number, since it is smaller than the sum of its proper divisors (170082802016).

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

151135670944 is a wasteful number, since it uses less digits than its factorization.

151135670944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14894 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 151135670944 in words is "one hundred fifty-one billion, one hundred thirty-five million, six hundred seventy thousand, nine hundred forty-four".