150890150400 has 480 divisors, whose sum is σ = 575784272448. Its totient is φ = 34426060800.

The previous prime is 150890150387. The next prime is 150890150407. The reversal of 150890150400 is 4051098051.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (150890150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7170294 + ... + 7191306.

Almost surely, 2^150890150400 is an apocalyptic number.

150890150400 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 150890150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287892136224).

150890150400 is an abundant number, since it is smaller than the sum of its proper divisors (424894122048).

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

150890150400 is a wasteful number, since it uses less digits than its factorization.

150890150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21072 (or 21051 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 150890150400 in words is "one hundred fifty billion, eight hundred ninety million, one hundred fifty thousand, four hundred".