151504269296640 has 1408 divisors, whose sum is σ = 565157695979520. Its totient is φ = 34352175513600.

The previous prime is 151504269296591. The next prime is 151504269296647. The reversal of 151504269296640 is 46692962405151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (151504269296647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12745368777 + ... + 12745380663.

Almost surely, 2^{151504269296640} is an apocalyptic number.

151504269296640 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 151504269296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282578847989760).

151504269296640 is an abundant number, since it is smaller than the sum of its proper divisors (413653426682880).

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

151504269296640 is a wasteful number, since it uses less digits than its factorization.

151504269296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12059 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 151504269296640 in words is "one hundred fifty-one trillion, five hundred four billion, two hundred sixty-nine million, two hundred ninety-six thousand, six hundred forty".