151122011040 has 1728 divisors, whose sum is σ = 725547932928. Its totient is φ = 28904325120.

The previous prime is 151122011023. The next prime is 151122011057. The reversal of 151122011040 is 40110221151.

151122011040 is a `hidden beast` number, since 1 + 511 + 2 + 2 + 0 + 110 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (151122011023) and next prime (151122011057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428107504 + ... + 428107856.

It is an arithmetic number, because the mean of its divisors is an integer number (419877276).

Almost surely, 2^151122011040 is an apocalyptic number.

151122011040 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 151122011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362773966464).

151122011040 is an abundant number, since it is smaller than the sum of its proper divisors (574425921888).

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

151122011040 is a wasteful number, since it uses less digits than its factorization.

151122011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 151122011040 its reverse (40110221151), we get a palindrome (191232232191).

The spelling of 151122011040 in words is "one hundred fifty-one billion, one hundred twenty-two million, eleven thousand, forty".