150878730240 has 1536 divisors, whose sum is σ = 657296640000. Its totient is φ = 32774160384.

The previous prime is 150878730221. The next prime is 150878730307. The reversal of 150878730240 is 42037878051.

150878730240 is a `hidden beast` number, since 1 + 508 + 78 + 7 + 30 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3508807659 + ... + 3508807701.

It is an arithmetic number, because the mean of its divisors is an integer number (427927500).

Almost surely, 2^150878730240 is an apocalyptic number.

150878730240 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 150878730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320000).

150878730240 is an abundant number, since it is smaller than the sum of its proper divisors (506417909760).

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

150878730240 is an equidigital number, since it uses as much as digits as its factorization.

150878730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 150878730240 in words is "one hundred fifty billion, eight hundred seventy-eight million, seven hundred thirty thousand, two hundred forty".