151554442000 has 320 divisors, whose sum is σ = 407554789824. Its totient is φ = 54145843200.

The previous prime is 151554441991. The next prime is 151554442003. The reversal of 151554442000 is 244455151.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 146790129424 + 4764312576 = 383132^2 + 69024^2 .

It is not an unprimeable number, because it can be changed into a prime (151554442003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247233694 + ... + 247234306.

Almost surely, 2^151554442000 is an apocalyptic number.

151554442000 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 151554442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203777394912).

151554442000 is an abundant number, since it is smaller than the sum of its proper divisors (256000347824).

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

151554442000 is a wasteful number, since it uses less digits than its factorization.

151554442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 151554442000 its reverse (244455151), we get a palindrome (151798897151).

The spelling of 151554442000 in words is "one hundred fifty-one billion, five hundred fifty-four million, four hundred forty-two thousand".