137271214080 has 2048 divisors, whose sum is σ = 676447027200. Its totient is φ = 25480396800.

The previous prime is 137271214061. The next prime is 137271214099. The reversal of 137271214080 is 80412172731.

137271214080 is a `hidden beast` number, since 1 + 372 + 71 + 2 + 140 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (137271214061) and next prime (137271214099).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-3 number, since 3×137271214080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4428103665 + ... + 4428103695.

It is an arithmetic number, because the mean of its divisors is an integer number (330296400).

Almost surely, 2^137271214080 is an apocalyptic number.

137271214080 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 137271214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338223513600).

137271214080 is an abundant number, since it is smaller than the sum of its proper divisors (539175813120).

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

137271214080 is a wasteful number, since it uses less digits than its factorization.

137271214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 137271214080 in words is "one hundred thirty-seven billion, two hundred seventy-one million, two hundred fourteen thousand, eighty".