151042767540 has 576 divisors, whose sum is σ = 527572942848. Its totient is φ = 32136652800.

The previous prime is 151042767529. The next prime is 151042767569. The reversal of 151042767540 is 45767240151.

It is a super-2 number, since 2×151042767540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 151042767492 and 151042767501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310149177 + ... + 310149663.

It is an arithmetic number, because the mean of its divisors is an integer number (915925248).

Almost surely, 2^151042767540 is an apocalyptic number.

151042767540 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 151042767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263786471424).

151042767540 is an abundant number, since it is smaller than the sum of its proper divisors (376530175308).

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

151042767540 is a wasteful number, since it uses less digits than its factorization.

151042767540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 151042767540 in words is "one hundred fifty-one billion, forty-two million, seven hundred sixty-seven thousand, five hundred forty".