157461470208 has 1320 divisors, whose sum is σ = 603805424112. Its totient is φ = 40577531904.

The previous prime is 157461470137. The next prime is 157461470239. The reversal of 157461470208 is 802074164751.

157461470208 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 614 + 7 + 0 + 20 + 8 = 666.

It is a super-2 number, since 2×157461470208² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2970971110 + ... + 2970971162.

Almost surely, 2^157461470208 is an apocalyptic number.

157461470208 is a gapful number since it is divisible by the number (18) 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 157461470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301902712056).

157461470208 is an abundant number, since it is smaller than the sum of its proper divisors (446343953904).

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

157461470208 is a wasteful number, since it uses less digits than its factorization.

157461470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

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

The spelling of 157461470208 in words is "one hundred fifty-seven billion, four hundred sixty-one million, four hundred seventy thousand, two hundred eight".