151145534540 has 192 divisors, whose sum is σ = 444697344000. Its totient is φ = 41595586560.

The previous prime is 151145534521. The next prime is 151145534543. The reversal of 151145534540 is 45435541151.

It is a super-2 number, since 2×151145534540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151145534494 and 151145534503.

It is not an unprimeable number, because it can be changed into a prime (151145534543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296336 + ... + 624584.

It is an arithmetic number, because the mean of its divisors is an integer number (2316132000).

Almost surely, 2^151145534540 is an apocalyptic number.

151145534540 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 151145534540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222348672000).

151145534540 is an abundant number, since it is smaller than the sum of its proper divisors (293551809460).

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

151145534540 is a wasteful number, since it uses less digits than its factorization.

151145534540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328312 (or 328310 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 151145534540 in words is "one hundred fifty-one billion, one hundred forty-five million, five hundred thirty-four thousand, five hundred forty".