150378414000 has 160 divisors (see below), whose sum is σ = 488639963136. Its totient is φ = 39784953600.

The previous prime is 150378413987. The next prime is 150378414007. The reversal of 150378414000 is 414873051.

It is a super-2 number, since 2×150378414000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150378414007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663327 + ... + 860673.

Almost surely, 2^150378414000 is an apocalyptic number.

150378414000 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 150378414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244319981568).

150378414000 is an abundant number, since it is smaller than the sum of its proper divisors (338261549136).

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

150378414000 is a wasteful number, since it uses less digits than its factorization.

150378414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197500 (or 197484 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 150378414000 in words is "one hundred fifty billion, three hundred seventy-eight million, four hundred fourteen thousand".