151091233559040 has 640 divisors, whose sum is σ = 522233543842560. Its totient is φ = 37123258318848.

The previous prime is 151091233559027. The next prime is 151091233559081. The reversal of 151091233559040 is 40955332190151.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3162269871 + ... + 3162317649.

It is an arithmetic number, because the mean of its divisors is an integer number (815989912254).

Almost surely, 2^{151091233559040} is an apocalyptic number.

151091233559040 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 151091233559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261116771921280).

151091233559040 is an abundant number, since it is smaller than the sum of its proper divisors (371142310283520).

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

151091233559040 is a wasteful number, since it uses less digits than its factorization.

151091233559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48332 (or 48316 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 48.

The spelling of 151091233559040 in words is "one hundred fifty-one trillion, ninety-one billion, two hundred thirty-three million, five hundred fifty-nine thousand, forty".