150355880640 has 504 divisors, whose sum is σ = 623893272912. Its totient is φ = 34366187520.

The previous prime is 150355880599. The next prime is 150355880671. The reversal of 150355880640 is 46088553051.

150355880640 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 5 + 588 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3790510 + ... + 3829970.

It is an arithmetic number, because the mean of its divisors is an integer number (1237883478).

Almost surely, 2^150355880640 is an apocalyptic number.

150355880640 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 150355880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311946636456).

150355880640 is an abundant number, since it is smaller than the sum of its proper divisors (473537392272).

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

150355880640 is an equidigital number, since it uses as much as digits as its factorization.

150355880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39507 (or 39478 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 150355880640 in words is "one hundred fifty billion, three hundred fifty-five million, eight hundred eighty thousand, six hundred forty".