157487900416 has 648 divisors, whose sum is σ = 436355082240. Its totient is φ = 56330588160.

The previous prime is 157487900413. The next prime is 157487900441. The reversal of 157487900416 is 614009784751.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157487900411) 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 71 ways as a sum of consecutive naturals, for example, 1240062145 + ... + 1240062271.

Almost surely, 2^157487900416 is an apocalyptic number.

157487900416 is a gapful number since it is divisible by the number (16) 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 157487900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218177541120).

157487900416 is an abundant number, since it is smaller than the sum of its proper divisors (278867181824).

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

157487900416 is a wasteful number, since it uses less digits than its factorization.

157487900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 157487900416 in words is "one hundred fifty-seven billion, four hundred eighty-seven million, nine hundred thousand, four hundred sixteen".